Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
141401	Rationalize the Numerator	square root of 147/2	$\sqrt{\frac{147}{2}}$
141402	Rationalize the Numerator	square root of 5/7	$\sqrt{\frac{5}{7}}$
141403	Find the Parent Function	y = cube root of x	$y = \sqrt[3]{x}$
141404	Rationalize the Numerator	( cube root of 6y^2)/( cube root of 13x)	$\frac{\sqrt[3]{6 y^{2}}}{\sqrt[3]{13 x}}$
141405	Rationalize the Numerator	( cube root of 3y^2)/( cube root of 17x)	$\frac{\sqrt[3]{3 y^{2}}}{\sqrt[3]{17 x}}$
141406	Rationalize the Numerator	( cube root of 5y^2)/( cube root of 12x)	$\frac{\sqrt[3]{5 y^{2}}}{\sqrt[3]{12 x}}$
141407	Rationalize the Numerator	( cube root of 5y^2)/( cube root of 14x)	$\frac{\sqrt[3]{5 y^{2}}}{\sqrt[3]{14 x}}$
141408	Rationalize the Numerator	( cube root of 5y^2)/( cube root of 19x)	$\frac{\sqrt[3]{5 y^{2}}}{\sqrt[3]{19 x}}$
141409	Rationalize the Numerator	( cube root of 2y^2)/( cube root of 5x)	$\frac{\sqrt[3]{2 y^{2}}}{\sqrt[3]{5 x}}$
141410	Rationalize the Numerator	( square root of 5x)/14	$\frac{\sqrt{5 x}}{14}$
141411	Rationalize the Numerator	square root of (10x)/(7y)	$\sqrt{\frac{10 x}{7 y}}$
141412	Rationalize the Numerator	square root of 11/23	$\sqrt{\frac{11}{23}}$
141413	Rationalize the Numerator	(5+ square root of 10)/3	$\frac{5 + \sqrt{10}}{3}$
141414	Determine if the Expression is a Perfect Square	x^2+11x+n	$x^{2} + 11 x + n$
141415	Determine if the Expression is a Perfect Square	ab^2	$a b^{2}$
141416	Determine if the Expression is a Perfect Square	n^2+20n+100	$n^{2} + 20 n + 100$
141417	Determine if the Expression is a Perfect Square	65	$65$
141418	Determine if the Expression is a Perfect Square	-81	$- 81$
141419	Determine if the Expression is a Perfect Square	88	$88$
141420	Determine if the Expression is a Perfect Square	9a^2-30a+25	$9 a^{2} - 30 a + 25$
141421	Determine if the Expression is a Perfect Square	54x^9y^8	$54 x^{9} y^{8}$
141422	Determine if the Expression is a Perfect Square	60	$60$
141423	Determine if the Expression is a Perfect Square	y^2+18y+81	$y^{2} + 18 y + 81$
141424	Rationalize the Numerator	( cube root of 15y^2)/( cube root of 7x)	$\frac{\sqrt[3]{15 y^{2}}}{\sqrt[3]{7 x}}$
141425	Rationalize the Numerator	( cube root of 17y^2)/( cube root of 5x)	$\frac{\sqrt[3]{17 y^{2}}}{\sqrt[3]{5 x}}$
141426	Rationalize the Numerator	( cube root of 13y^2)/( cube root of 15x)	$\frac{\sqrt[3]{13 y^{2}}}{\sqrt[3]{15 x}}$
141427	Rationalize the Numerator	( cube root of 14y^2)/( cube root of 13x)	$\frac{\sqrt[3]{14 y^{2}}}{\sqrt[3]{13 x}}$
141428	Rationalize the Numerator	( cube root of 15y^2)/( cube root of 11x)	$\frac{\sqrt[3]{15 y^{2}}}{\sqrt[3]{11 x}}$
141429	Determine if the Expression is a Perfect Square	y^2-25	$y^{2} - 25$
141430	Rationalize the Numerator	( cube root of 10y^2)/( cube root of 17x)	$\frac{\sqrt[3]{10 y^{2}}}{\sqrt[3]{17 x}}$
141431	Determine if the Expression is a Perfect Square	x^2-18x+c	$x^{2} - 18 x + c$
141432	Determine if the Expression is a Perfect Square	x^2+cx+100	$x^{2} + c x + 100$
141433	Determine if the Expression is a Perfect Square	x^2+2x	$x^{2} + 2 x$
141434	Find the Roots/Zeros Using the Rational Roots Test	2x^4-13x^3+32x^2-53x+20	$2 x^{4} - 13 x^{3} + 32 x^{2} - 53 x + 20$
141435	Find the Roots/Zeros Using the Rational Roots Test	-2x^4+13x^3-21x^2+2x+8	$- 2 x^{4} + 13 x^{3} - 21 x^{2} + 2 x + 8$
141436	Find the Roots/Zeros Using the Rational Roots Test	3x^3+11x^2+5x-3	$3 x^{3} + 11 x^{2} + 5 x - 3$
141437	Find the Roots/Zeros Using the Rational Roots Test	2x^4-7x^3-17x^2+58x-24	$2 x^{4} - 7 x^{3} - 17 x^{2} + 58 x - 24$
141438	Find the Roots/Zeros Using the Rational Roots Test	25x^4+26x^3+51x^2+52x+2	$25 x^{4} + 26 x^{3} + 51 x^{2} + 52 x + 2$
141439	Find the Roots/Zeros Using the Rational Roots Test	2x^3-7x^2-18x+63	$2 x^{3} - 7 x^{2} - 18 x + 63$
141440	Find the Roots/Zeros Using the Rational Roots Test	3x^3-19x^2+33x-9	$3 x^{3} - 19 x^{2} + 33 x - 9$
141441	Find the Roots/Zeros Using the Rational Roots Test	4x^3-3x^2-22x-15	$4 x^{3} - 3 x^{2} - 22 x - 15$
141442	Find the Roots/Zeros Using the Rational Roots Test	4x^5+16x^4-385x^3-4x^2+96x	$4 x^{5} + 16 x^{4} - 385 x^{3} - 4 x^{2} + 96 x$
141443	Find the Roots/Zeros Using the Rational Roots Test	5x^3+4x^2-2x-12	$5 x^{3} + 4 x^{2} - 2 x - 12$
141444	Find the Roots/Zeros Using the Rational Roots Test	x^3+3x^2-219x-221	$x^{3} + 3 x^{2} - 219 x - 221$
141445	Find the Roots/Zeros Using the Rational Roots Test	t^4-t^3+3t^2-5t-10	$t^{4} - t^{3} + 3 t^{2} - 5 t - 10$
141446	Find the Roots/Zeros Using the Rational Roots Test	7x^3-x^2+10x-4	$7 x^{3} - x^{2} + 10 x - 4$
141447	Find the Roots/Zeros Using the Rational Roots Test	7x^4-8x^3-42x^2+7x+6	$7 x^{4} - 8 x^{3} - 42 x^{2} + 7 x + 6$
141448	Find the Roots/Zeros Using the Rational Roots Test	5x^3-x^2-5x+1	$5 x^{3} - x^{2} - 5 x + 1$
141449	Find the Roots/Zeros Using the Rational Roots Test	5x^3-x^2-65x+13	$5 x^{3} - x^{2} - 65 x + 13$
141450	Find the Roots/Zeros Using the Rational Roots Test	5x^4+32x^3-24x^2-20x+7	$5 x^{4} + 32 x^{3} - 24 x^{2} - 20 x + 7$
141451	Find the Roots/Zeros Using the Rational Roots Test	x^3-x^2+x-1	$x^{3} - x^{2} + x - 1$
141452	Find the Roots/Zeros Using the Rational Roots Test	x^3-7x^2-x+7	$x^{3} - 7 x^{2} - x + 7$
141453	Find the Roots/Zeros Using the Rational Roots Test	x^3-7x^2+41x-87	$x^{3} - 7 x^{2} + 41 x - 87$
141454	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3+4x^2+24x-32	$x^{4} - 6 x^{3} + 4 x^{2} + 24 x - 32$
141455	Find the Roots/Zeros Using the Rational Roots Test	x^4-4x^3-46x^2-89x-42	$x^{4} - 4 x^{3} - 46 x^{2} - 89 x - 42$
141456	Find the Roots/Zeros Using the Rational Roots Test	x^4-3x^3-7x^2+15x+18	$x^{4} - 3 x^{3} - 7 x^{2} + 15 x + 18$
141457	Find the Roots/Zeros Using the Rational Roots Test	x^4-13x^2+36	$x^{4} - 13 x^{2} + 36$
141458	Find the Roots/Zeros Using the Rational Roots Test	x^3+7x^2-3x-21	$x^{3} + 7 x^{2} - 3 x - 21$
141459	Find the Roots/Zeros Using the Rational Roots Test	x^3-11x^2-4x+44	$x^{3} - 11 x^{2} - 4 x + 44$
141460	Find the Roots/Zeros Using the Rational Roots Test	x^3-19x-30	$x^{3} - 19 x - 30$
141461	Find the Roots/Zeros Using the Rational Roots Test	x^3-4x^2-36x+144	$x^{3} - 4 x^{2} - 36 x + 144$
141462	Find the Properties	(y^2)/49-(x^2)/64=1	$\frac{y^{2}}{49} - \frac{x^{2}}{64} = 1$
141463	Find the Properties	(x^2)/95+(y^2)/30=1	$\frac{x^{2}}{95} + \frac{y^{2}}{30} = 1$
141464	Find the Properties	(x-1)^2=-8(y+2)	${(x - 1)}^{2} = - 8 (y + 2)$
141465	Find the Properties	(x^2)/49-(y^2)/25=1	$\frac{x^{2}}{49} - \frac{y^{2}}{25} = 1$
141466	Find the Properties	(x^2)/81-(y^2)/16=1	$\frac{x^{2}}{81} - \frac{y^{2}}{16} = 1$
141467	Find the Properties	((x-3)^2)/49+((y-9)^2)/4=1	$\frac{{(x - 3)}^{2}}{49} + \frac{{(y - 9)}^{2}}{4} = 1$
141468	Find the Properties	((x-5)^2)/81+((y-4)^2)/4=1	$\frac{{(x - 5)}^{2}}{81} + \frac{{(y - 4)}^{2}}{4} = 1$
141469	Find the Properties	((x-8)^2)/49+((y-2)^2)/9=1	$\frac{{(x - 8)}^{2}}{49} + \frac{{(y - 2)}^{2}}{9} = 1$
141470	Find the Properties	((x+2)^2)/9+(y^2)/16=1	$\frac{{(x + 2)}^{2}}{9} + \frac{y^{2}}{16} = 1$
141471	Evaluate the Difference Quotient	(f(a+h)-f(a))/h , f(x)=1-x^2	$\frac{f (a + h) - f (a)}{h}$ , $f (x) = 1 - x^{2}$
141472	Find the Properties	y^2-10x-2y+21=0	$y^{2} - 10 x - 2 y + 21 = 0$
141473	Find the Properties	y^2-4y+12x+4=0	$y^{2} - 4 y + 12 x + 4 = 0$
141474	Find the Properties	y^2-8y+8x+16=0	$y^{2} - 8 y + 8 x + 16 = 0$
141475	Find the Properties	25x^2+y^2=400	$25 x^{2} + y^{2} = 400$
141476	Find the Properties	27(x-1)^2+36(y+2)^2=972	$27 {(x - 1)}^{2} + 36 {(y + 2)}^{2} = 972$
141477	Find the Properties	49x^2+16y^2=784	$49 x^{2} + 16 y^{2} = 784$
141478	Find the Properties	x^2+4x+8y+36=0	$x^{2} + 4 x + 8 y + 36 = 0$
141479	Find the Properties	8x^2=224-7y^2	$8 x^{2} = 224 - 7 y^{2}$
141480	Find the Properties	4x^2-16y^2=64	$4 x^{2} - 16 y^{2} = 64$
141481	Determine if the Expression is a Perfect Square	324	$324$
141482	Determine if the Expression is a Perfect Square	36x^2+94x+64	$36 x^{2} + 94 x + 64$
141483	Determine if the Expression is a Perfect Square	36b^2-24b+8	$36 b^{2} - 24 b + 8$
141484	Determine if the Expression is a Perfect Square	25m^2-20m+4	$25 m^{2} - 20 m + 4$
141485	Determine if the Expression is a Perfect Square	250	$250$
141486	Determine if the Expression is a Perfect Square	240	$240$
141487	Determine if the Expression is a Perfect Square	144m^2	$144 m^{2}$
141488	Determine if the Expression is a Perfect Square	128	$128$
141489	Determine if the Expression is a Perfect Square	108	$108$
141490	Determine if the Expression is a Perfect Square	10a^3b^2	$10 a^{3} b^{2}$
141491	Determine if the Expression is a Perfect Square	110m^2	$110 m^{2}$
141492	Determine if the Expression is a Perfect Square	169x^2y^4	$169 x^{2} y^{4}$
141493	Determine if the Expression is a Perfect Square	16x^2-56x+49	$16 x^{2} - 56 x + 49$
141494	Determine if Bijective (One-to-One)	(1,-2) , (3,6)	$(1, - 2)$ , $(3, 6)$
141495	Find the Domain of the Product of the Functions	f(x)=7x+6 , g(x) = square root of x	$f (x) = 7 x + 6$ , $g (x) = \sqrt{x}$
141496	Find Three Ordered Pair Solutions	f(x)=2x	$f (x) = 2 x$
141497	Find the Derivative Using Quotient Rule - d/dx	(15x^4y^2-30x^2y^3+45xy)/(5xy)	$\frac{15 x^{4} y^{2} - 30 x^{2} y^{3} + 45 x y}{5 x y}$
141498	Find the Derivative Using Quotient Rule - d/dx	(27x^3-18x)/(9x)	$\frac{27 x^{3} - 18 x}{9 x}$
141499	Find the Derivative Using Quotient Rule - d/db	(b^3+4b^2-3b+126)/(b+7)	$\frac{b^{3} + 4 b^{2} - 3 b + 126}{b + 7}$
141500	Find the Derivative Using Quotient Rule - d/dm	(2m^4+21m^3+35m^2-37m+45)/(2m+7)	$\frac{(2 m^{4} + 21 m^{3} + 35 m^{2} - 37 m + 45)}{(2 m + 7)}$