Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
85901	Simplify	(8x^3-27)/(4x^2+6x+9)	$\frac{8 x^{3} - 27}{4 x^{2} + 6 x + 9}$
85902	Simplify	(6 square root of x^2 square root of x^2)/(81 square root of x^16)	$\frac{6 \sqrt{x^{2}} \sqrt{x^{2}}}{81 \sqrt{x^{16}}}$
85903	Simplify	(6b-3)/(3b^2-12)	$\frac{6 b - 3}{3 b^{2} - 12}$
85904	Simplify	(7w-2)/(16w^2-1)	$\frac{7 w - 2}{16 w^{2} - 1}$
85905	Simplify	(7ab^-2)/(3W)	$\frac{7 a b^{- 2}}{3 W}$
85906	Simplify	17/(4-i)	$\frac{17}{4 - i}$
85907	Simplify	10/(3-i)	$\frac{10}{3 - i}$
85908	Simplify	11/( square root of 6)	$\frac{11}{\sqrt{6}}$
85909	Simplify	\| square root of 17-5i square root of 2\|	$\| \sqrt{17} - 5 i \sqrt{2} \|$
85910	Determine if Dependent, Independent, or Inconsistent	y=4x+6 -8x+2y=12	$y = 4 x + 6$ $- 8 x + 2 y = 12$
85911	Simplify	(z^3+64)/(z^3-4z^2+16z)	$\frac{z^{3} + 64}{z^{3} - 4 z^{2} + 16 z}$
85912	Simplify	(y^-1+x^-1)/((xy)^-1)	$\frac{y^{- 1} + x^{- 1}}{{(x y)}^{- 1}}$
85913	Determine if Dependent, Independent, or Inconsistent	y=-3x+4 , 6x+2y=8	$y = - 3 x + 4$ , $6 x + 2 y = 8$
85914	Simplify	(y^2-4y-5)/(y^2+5y+4)	$\frac{y^{2} - 4 y - 5}{y^{2} + 5 y + 4}$
85915	Simplify	1/( square root of 14y)	$\frac{1}{\sqrt{14 y}}$
85916	Simplify	1/(x^-7)	$\frac{1}{x^{- 7}}$
85917	Simplify	(1+1/x)/(3-1/x)	$\frac{1 + \frac{1}{x}}{3 - \frac{1}{x}}$
85918	Simplify	(1+1/(c-1))/(1-1/(c-1))	$\frac{1 + \frac{1}{c - 1}}{1 - \frac{1}{c - 1}}$
85919	Simplify	1/(3 square root of x^-6)	$\frac{1}{3 \sqrt{x^{- 6}}}$
85920	Simplify	3/( square root of 3a^2b)	$\frac{3}{\sqrt{3 a^{2} b}}$
85921	Simplify	3/( square root of 6x)	$\frac{3}{\sqrt{6 x}}$
85922	Simplify	(3y^2-3)/(y^2-1)	$\frac{3 y^{2} - 3}{y^{2} - 1}$
85923	Simplify	(3x^2-4x-4)/(6x^3+4x^2+3x+2)	$\frac{3 x^{2} - 4 x - 4}{6 x^{3} + 4 x^{2} + 3 x + 2}$
85924	Simplify	(3x^2-3)/((x+1)(x-3))	$\frac{3 x^{2} - 3}{(x + 1) (x - 3)}$
85925	Simplify	(3a^-1+2b^-2)/(a^-1-b^-1)	$\frac{3 a^{- 1} + 2 b^{- 2}}{a^{- 1} - b^{- 1}}$
85926	Simplify	(3a^-1+5b^-2)/(a^-1-b^-1)	$\frac{3 a^{- 1} + 5 b^{- 2}}{a^{- 1} - b^{- 1}}$
85927	Simplify	(3 square root of m^5+5 square root of m^3)/( square root of m)	$\frac{3 \sqrt{m^{5}} + 5 \sqrt{m^{3}}}{\sqrt{m}}$
85928	Simplify	2/(7-8i)	$\frac{2}{7 - 8 i}$
85929	Simplify	2/( cube root of 2x)	$\frac{2}{\sqrt[3]{2 x}}$
85930	Simplify	2/(1- square root of 3)	$\frac{2}{1 - \sqrt{3}}$
85931	Simplify	(22m+11)/33	$\frac{22 m + 11}{33}$
85932	Simplify	(-2x^2-9x)/(4x^2-81)	$\frac{- 2 x^{2} - 9 x}{4 x^{2} - 81}$
85933	Simplify	(2 cube root of x^2y)/( cube root of 4xy^2)	$\frac{2 \sqrt[3]{x^{2} y}}{\sqrt[3]{4 x y^{2}}}$
85934	Simplify	(2x^2+13x+20)/(x^2-5x-36)	$\frac{2 x^{2} + 13 x + 20}{x^{2} - 5 x - 36}$
85935	Simplify	- square root of 324	$- \sqrt{324}$
85936	Simplify	square root of 36y^4	$\sqrt{36 y^{4}}$
85937	Simplify	- square root of 36x^6	$- \sqrt{36 x^{6}}$
85938	Find the Vertices	25x^2+16y^2-50x+96y-231=0	$25 x^{2} + 16 y^{2} - 50 x + 96 y - 231 = 0$
85939	Simplify	square root of 36n^4	$\sqrt{36 n^{4}}$
85940	Find the Vertices	49x^2+y^2=196	$49 x^{2} + y^{2} = 196$
85941	Simplify	square root of 3t square root of 3t	$\sqrt{3 t} \sqrt{3 t}$
85942	Simplify	square root of 32y^12	$\sqrt{32 y^{12}}$
85943	Find the Vertices	2x^2+3y^2=6	$2 x^{2} + 3 y^{2} = 6$
85944	Simplify	- square root of 32	$- \sqrt{32}$
85945	Find the Vertices	25y^2-9x^2=225	$25 y^{2} - 9 x^{2} = 225$
85946	Find the Vertices	25x^2+9y^2-250x+72y+544=0	$25 x^{2} + 9 y^{2} - 250 x + 72 y + 544 = 0$
85947	Simplify	square root of 27tu^3	$\sqrt{27 t u^{3}}$
85948	Simplify	- square root of 289	$- \sqrt{289}$
85949	Find the Vertices	(y^2)/81-(x^2)/19=1	$\frac{y^{2}}{81} - \frac{x^{2}}{19} = 1$
85950	Simplify	square root of 28x^10	$\sqrt{28 x^{10}}$
85951	Simplify	square root of 28w^8	$\sqrt{28 w^{8}}$
85952	Find the Vertices	(y^2)/49-(x^2)/51=1	$\frac{y^{2}}{49} - \frac{x^{2}}{51} = 1$
85953	Simplify	square root of 20b^3c^4	$\sqrt{20 b^{3} c^{4}}$
85954	Simplify	square root of 2x^3y square root of 12xy	$\sqrt{2 x^{3} y} \sqrt{12 x y}$
85955	Simplify	square root of 25x^16	$\sqrt{25 x^{16}}$
85956	Find the Vertices	(x^2)/64+((y-3)^2)/121=1	$\frac{x^{2}}{64} + \frac{{(y - 3)}^{2}}{121} = 1$
85957	Simplify	square root of 24x^7	$\sqrt{24 x^{7}}$
85958	Simplify	square root of 200x^6y^7	$\sqrt{200 x^{6} y^{7}}$
85959	Find the Vertices	(x^2)/81-(y^2)/144=1	$\frac{x^{2}}{81} - \frac{y^{2}}{144} = 1$
85960	Simplify	square root of -21	$\sqrt{- 21}$
85961	Simplify	square root of 216x^2	$\sqrt{216 x^{2}}$
85962	Find the Vertices	9x^2+25y^2-18x+150y+9=0	$9 x^{2} + 25 y^{2} - 18 x + 150 y + 9 = 0$
85963	Simplify	square root of 185	$\sqrt{185}$
85964	Find the Vertices	4y^2+x^2=64	$4 y^{2} + x^{2} = 64$
85965	Simplify	square root of 18x^9	$\sqrt{18 x^{9}}$
85966	Find the Vertices	x^2+4x+16y^2-96y+4=0	$x^{2} + 4 x + 16 y^{2} - 96 y + 4 = 0$
85967	Simplify	square root of 196x^2	$\sqrt{196 x^{2}}$
85968	Simplify	square root of 170	$\sqrt{170}$
85969	Find the Vertices	9x^2-y^2=81	$9 x^{2} - y^{2} = 81$
85970	Simplify	square root of 1575x^4	$\sqrt{1575 x^{4}}$
85971	Find the Vertices	y^2-x^2=81	$y^{2} - x^{2} = 81$
85972	Simplify	square root of 1350x^4	$\sqrt{1350 x^{4}}$
85973	Simplify	square root of 132	$\sqrt{132}$
85974	Simplify	square root of 0.81	$\sqrt{0.81}$
85975	Simplify	square root of 1-x^2	$\sqrt{1 - x^{2}}$
85976	Simplify	square root of y^22	$\sqrt{y^{22}}$
85977	Find the Vertices	((y-1)^2)/9-((x-5)^2)/16=1	$\frac{{(y - 1)}^{2}}{9} - \frac{{(x - 5)}^{2}}{16} = 1$
85978	Simplify	- square root of 1000	$- \sqrt{1000}$
85979	Simplify	square root of 125b	$\sqrt{125 b}$
85980	Find the Vertices	(x^2)/4+(y^2)/40=1	$\frac{x^{2}}{4} + \frac{y^{2}}{40} = 1$
85981	Simplify	square root of 11x^2	$\sqrt{11 x^{2}}$
85982	Simplify	square root of 11( square root of 11+x square root of 33)	$\sqrt{11} (\sqrt{11} + x \sqrt{33})$
85983	Simplify	- square root of 1100	$- \sqrt{1100}$
85984	Find the Vertices	(x^2)/400+(y^2)/625=1	$\frac{x^{2}}{400} + \frac{y^{2}}{625} = 1$
85985	Simplify	square root of 11x( square root of 11- square root of x)	$\sqrt{11 x} (\sqrt{11} - \sqrt{x})$
85986	Find the Vertices	(x^2)/21+(y^2)/121=1	$\frac{x^{2}}{21} + \frac{y^{2}}{121} = 1$
85987	Simplify	square root of (x+10)^2	$\sqrt{{(x + 10)}^{2}}$
85988	Find the Vertices	(x^2)/100+(y^2)/4=1	$\frac{x^{2}}{100} + \frac{y^{2}}{4} = 1$
85989	Simplify	square root of (a^4)/(b^3)	$\sqrt{\frac{a^{4}}{b^{3}}}$
85990	Find the Vertices	(x^2)/10+(y^2)/4=1	$\frac{x^{2}}{10} + \frac{y^{2}}{4} = 1$
85991	Simplify	square root of 2/49	$\sqrt{\frac{2}{49}}$
85992	Simplify	square root of 11/4	$\sqrt{\frac{11}{4}}$
85993	Find the Vertices	(x^2)/144-(y^2)/81=1	$\frac{x^{2}}{144} - \frac{y^{2}}{81} = 1$
85994	Simplify	square root of 12/5	$\sqrt{\frac{12}{5}}$
85995	Find the Vertices	(x^2)/16-(y^2)/20=1	$\frac{x^{2}}{16} - \frac{y^{2}}{20} = 1$
85996	Simplify	- square root of 1/25	$- \sqrt{\frac{1}{25}}$
85997	Simplify	square root of 1/8	$\sqrt{\frac{1}{8}}$
85998	Simplify	square root of 100/25	$\sqrt{\frac{100}{25}}$
85999	Simplify	square root of (x^2y)/100	$\sqrt{\frac{x^{2} y}{100}}$
86000	Find the Vertices	((x-4)^2)/(7^2)-((y+6)^2)/(5^2)=1	$\frac{{(x - 4)}^{2}}{7^{2}} - \frac{{(y + 6)}^{2}}{5^{2}} = 1$