Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
81501	Rationalize the Denominator	6/(6+ square root of 12x)	$\frac{6}{6 + \sqrt{12 x}}$
81502	Evaluate	( square root of 10)/2	$\frac{\sqrt{10}}{2}$
81503	Evaluate	( square root of -120)/( square root of 10)	$\frac{\sqrt{- 120}}{\sqrt{10}}$
81504	Evaluate	( square root of 11)/( square root of 7)	$\frac{\sqrt{11}}{\sqrt{7}}$
81505	Evaluate	( square root of 15)/( square root of 60)	$\frac{\sqrt{15}}{\sqrt{60}}$
81506	Evaluate	( square root of 150)/( square root of 3)	$\frac{\sqrt{150}}{\sqrt{3}}$
81507	Evaluate	( square root of 182)/(14 square root of 13+13 square root of 14)	$\frac{\sqrt{182}}{14 \sqrt{13 + 13 \sqrt{14}}}$
81508	Evaluate	( square root of 4)/( square root of 5)	$\frac{\sqrt{4}}{\sqrt{5}}$
81509	Evaluate	( square root of 34)/( square root of 17)	$\frac{\sqrt{34}}{\sqrt{17}}$
81510	Evaluate	( square root of 32)/( square root of 8)	$\frac{\sqrt{32}}{\sqrt{8}}$
81511	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^5-8x^4+21x^3-12x^2-22x+20	$f (x) = x^{5} - 8 x^{4} + 21 x^{3} - 12 x^{2} - 22 x + 20$
81512	Evaluate	( square root of 32)/4	$\frac{\sqrt{32}}{4}$
81513	Evaluate	( square root of 3)/( square root of 27)	$\frac{\sqrt{3}}{\sqrt{27}}$
81514	Evaluate	( cube root of 3* fourth root of 3)^12	${(\sqrt[3]{3} \cdot \sqrt[4]{3})}^{12}$
81515	Evaluate	( fourth root of 187)^3	${(\sqrt[4]{187})}^{3}$
81516	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^5+3x^4*8x^3+14x^2+16x+8	$f (x) = x^{5} + 3 x^{4} \cdot 8 x^{3} + 14 x^{2} + 16 x + 8$
81517	Use the Rational Roots Test to Find All Possible Roots	f(x)=X^4-8x^3+15x^2+58x+34	$f (x) = X^{4} - 8 x^{3} + 15 x^{2} + 58 x + 34$
81518	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-4x^3-18x^2+108x-135	$f (x) = x^{4} - 4 x^{3} - 18 x^{2} + 108 x - 135$
81519	Evaluate	(3+ square root of 5)/(4- square root of 5)	$\frac{3 + \sqrt{5}}{4 - \sqrt{5}}$
81520	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-16x^3+50x^2+152x+85	$f (x) = x^{4} - 16 x^{3} + 50 x^{2} + 152 x + 85$
81521	Evaluate	(3 square root of 8)/(4 square root of 6)	$\frac{3 \sqrt{8}}{4 \sqrt{6}}$
81522	Evaluate	(4 square root of 2)/(3 square root of 5)	$\frac{4 \sqrt{2}}{3 \sqrt{5}}$
81523	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4+6x^3+5x^2-30x-50	$f (x) = x^{4} + 6 x^{3} + 5 x^{2} - 30 x - 50$
81524	Evaluate	4/( square root of 5+ square root of 3)	$\frac{4}{\sqrt{5} + \sqrt{3}}$
81525	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+4x^2-82x-85	$f (x) = x^{3} + 4 x^{2} - 82 x - 85$
81526	Evaluate	(4 fourth root of 48)/( fourth root of 3)	$\frac{4 \sqrt[4]{48}}{\sqrt[4]{3}}$
81527	Evaluate	(3 square root of 11+ square root of 5)/( square root of 11- square root of 5)	$\frac{3 \sqrt{11} + \sqrt{5}}{\sqrt{11} - \sqrt{5}}$
81528	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-182x-187	$f (x) = x^{3} + 6 x^{2} - 182 x - 187$
81529	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2+5x-12	$f (x) = x^{3} + 6 x^{2} + 5 x - 12$
81530	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+5x^2-51x-55	$f (x) = x^{3} + 5 x^{2} - 51 x - 55$
81531	Use the Rational Roots Test to Find All Possible Roots	f(x)=9x^4-x^3+5x^2-2x-33	$f (x) = 9 x^{4} - x^{3} + 5 x^{2} - 2 x - 33$
81532	Evaluate	(2 square root of 15)/(-4- square root of 12)	$\frac{2 \sqrt{15}}{- 4 - \sqrt{12}}$
81533	Use the Rational Roots Test to Find All Possible Roots	f(x)=9x^4-x^3+3x^2-5x-15	$f (x) = 9 x^{4} - x^{3} + 3 x^{2} - 5 x - 15$
81534	Evaluate	( cube root of 2)/( cube root of 5)	$\frac{\sqrt[3]{2}}{\sqrt[3]{5}}$
81535	Evaluate	( cube root of 189)/( cube root of 7)	$\frac{\sqrt[3]{189}}{\sqrt[3]{7}}$
81536	Evaluate	( cube root of 128)/( cube root of 2)	$\frac{\sqrt[3]{128}}{\sqrt[3]{2}}$
81537	Evaluate	( square root of -80)/( square root of 10)	$\frac{\sqrt{- 80}}{\sqrt{10}}$
81538	Evaluate	( square root of 8)/( square root of 3)	$\frac{\sqrt{8}}{\sqrt{3}}$
81539	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+11x^2-5x-55	$f (x) = x^{3} + 11 x^{2} - 5 x - 55$
81540	Evaluate	( cube root of 4)/( square root of 2)	$\frac{\sqrt[3]{4}}{\sqrt{2}}$
81541	Evaluate	( fourth root of 3)/( fourth root of 7)	$\frac{\sqrt[4]{3}}{\sqrt[4]{7}}$
81542	Evaluate	( square root of 7- square root of 5)/( square root of 35- square root of 34)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{35} - \sqrt{34}}$
81543	Evaluate	( square root of 7)/( square root of 28)	$\frac{\sqrt{7}}{\sqrt{28}}$
81544	Evaluate	( square root of -72)/( square root of -6)	$\frac{\sqrt{- 72}}{\sqrt{- 6}}$
81545	Evaluate	( square root of -72)/( square root of -3)	$\frac{\sqrt{- 72}}{\sqrt{- 3}}$
81546	Evaluate	( square root of 65)/( square root of 5)	$\frac{\sqrt{65}}{\sqrt{5}}$
81547	Evaluate	( square root of -60)/( square root of -3)	$\frac{\sqrt{- 60}}{\sqrt{- 3}}$
81548	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-3x^2-49x+147	$f (x) = x^{3} - 3 x^{2} - 49 x + 147$
81549	Evaluate	( square root of -54)/( square root of -6)	$\frac{\sqrt{- 54}}{\sqrt{- 6}}$
81550	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-59x^2+511x-1029	$f (x) = x^{3} - 59 x^{2} + 511 x - 1029$
81551	Evaluate	( square root of -50)/( square root of 2)	$\frac{\sqrt{- 50}}{\sqrt{2}}$
81552	Evaluate	( square root of 42)/( square root of 6)	$\frac{\sqrt{42}}{\sqrt{6}}$
81553	Evaluate	( square root of 46)/( square root of 2)	$\frac{\sqrt{46}}{\sqrt{2}}$
81554	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-20x-26	$f (x) = x^{3} + 7 x^{2} - 20 x - 26$
81555	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-33x-39	$f (x) = x^{3} + 7 x^{2} - 33 x - 39$
81556	Evaluate	1/(-( square root of 2)/2)	$\frac{1}{- \frac{\sqrt{2}}{2}}$
81557	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+8x^2-15x-22	$f (x) = x^{3} + 8 x^{2} - 15 x - 22$
81558	Evaluate	-8/( square root of x-3)	$\frac{- 8}{\sqrt{x} - 3}$
81559	Evaluate	( square root of 3xy^2)/( square root of 5xy^3)	$\frac{\sqrt{3 x y^{2}}}{\sqrt{5 x y^{3}}}$
81560	Write in Standard Form	y=3x+4	$y = 3 x + 4$
81561	Write in Standard Form	y=-x+5	$y = - x + 5$
81562	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+8x^2-70x-77	$f (x) = x^{3} + 8 x^{2} - 70 x - 77$
81563	Write in Standard Form	y=x-2	$y = x - 2$
81564	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+8x^2-78x-85	$f (x) = x^{3} + 8 x^{2} - 78 x - 85$
81565	Write in Standard Form	y=-7/5x+1	$y = - \frac{7}{5} x + 1$
81566	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+8x^2-58x-65	$f (x) = x^{3} + 8 x^{2} - 58 x - 65$
81567	Expand Using the Binomial Theorem	(x-5)^7	${(x - 5)}^{7}$
81568	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-10x^2-13x+22	$f (x) = x^{3} - 10 x^{2} - 13 x + 22$
81569	Expand Using the Binomial Theorem	(x-6y)^2	${(x - 6 y)}^{2}$
81570	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-17x^2+87x-135	$f (x) = x^{3} - 17 x^{2} + 87 x - 135$
81571	Expand Using the Binomial Theorem	(x+y)^11	${(x + y)}^{11}$
81572	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-13x^2+50x-56	$f (x) = x^{3} - 13 x^{2} + 50 x - 56$
81573	Expand Using the Binomial Theorem	(x-15)^2	${(x - 15)}^{2}$
81574	Expand Using the Binomial Theorem	(x-1)^6	${(x - 1)}^{6}$
81575	Expand Using the Binomial Theorem	(x+(3+5i))^2	${(x + (3 + 5 i))}^{2}$
81576	Expand Using the Binomial Theorem	(x+10)^4	${(x + 10)}^{4}$
81577	Use the Rational Roots Test to Find All Possible Roots	P(x)=8x^3+2x^2-14x+5	$P (x) = 8 x^{3} + 2 x^{2} - 14 x + 5$
81578	Expand Using the Binomial Theorem	(x+3y)^6	${(x + 3 y)}^{6}$
81579	Use the Rational Roots Test to Find All Possible Roots	p(x)=x^4-1	$p (x) = x^{4} - 1$
81580	Expand Using the Binomial Theorem	(s+2v)^5	${(s + 2 v)}^{5}$
81581	Expand Using the Binomial Theorem	(d-3)^6	${(d - 3)}^{6}$
81582	Expand Using the Binomial Theorem	(p+q)^5	${(p + q)}^{5}$
81583	Expand Using the Binomial Theorem	(n+5)^2	${(n + 5)}^{2}$
81584	Expand Using the Binomial Theorem	(7x-3y)^2	${(7 x - 3 y)}^{2}$
81585	Use the Rational Roots Test to Find All Possible Roots	P(x)=2x^5-11x^4+19x^3-17x^2+17x-6	$P (x) = 2 x^{5} - 11 x^{4} + 19 x^{3} - 17 x^{2} + 17 x - 6$
81586	Expand Using the Binomial Theorem	(6x-4y)^2	${(6 x - 4 y)}^{2}$
81587	Use the Rational Roots Test to Find All Possible Roots	M(x)=28x^3-27x^2+8x-2	$M (x) = 28 x^{3} - 27 x^{2} + 8 x - 2$
81588	Expand Using the Binomial Theorem	(6x-7y)^2	${(6 x - 7 y)}^{2}$
81589	Use the Rational Roots Test to Find All Possible Roots	N(x)=x^3-5x^2-10x+50	$N (x) = x^{3} - 5 x^{2} - 10 x + 50$
81590	Expand Using the Binomial Theorem	(5y+7)^2	${(5 y + 7)}^{2}$
81591	Expand Using the Binomial Theorem	(9x+8)^2	${(9 x + 8)}^{2}$
81592	Use the Rational Roots Test to Find All Possible Roots	h(x)=x^4-7x^3+11x^2+7x-12	$h (x) = x^{4} - 7 x^{3} + 11 x^{2} + 7 x - 12$
81593	Expand Using the Binomial Theorem	(8x+2)^2	${(8 x + 2)}^{2}$
81594	Expand Using the Binomial Theorem	(8v+s)^5	${(8 v + s)}^{5}$
81595	Expand Using the Binomial Theorem	(8x-6)^2	${(8 x - 6)}^{2}$
81596	Expand Using the Binomial Theorem	(b-5)^2	${(b - 5)}^{2}$
81597	Expand Using the Binomial Theorem	(2x-3)^8	${(2 x - 3)}^{8}$
81598	Expand Using the Binomial Theorem	(2x-4y)^2	${(2 x - 4 y)}^{2}$
81599	Use the Rational Roots Test to Find All Possible Roots	h(x)=3x^4+13x^3+x^2-13x-4	$h (x) = 3 x^{4} + 13 x^{3} + x^{2} - 13 x - 4$
81600	Expand Using the Binomial Theorem	(2y+1)^2	${(2 y + 1)}^{2}$