Mathway | Popular Problems

Popular Problems

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