Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13901	Simplify	seventh root of x^7y^28	$\sqrt[7]{x^{7} y^{28}}$
13902	Simplify	sixth root of 16x^4y^2	$\sqrt[6]{16 x^{4} y^{2}}$
13903	Simplify	sixth root of 16	$\sqrt[6]{16}$
13904	Simplify	square root of cube root of 13a^7b	$\sqrt{\sqrt[3]{13 a^{7} b}}$
13905	Simplify	sixth root of y^5 cube root of y^2	$\sqrt[6]{y^{5}} \sqrt[3]{y^{2}}$
13906	Simplify	sixth root of y^7	$\sqrt[6]{y^{7}}$
13907	Simplify	sixth root of x^3y^2	$\sqrt[6]{x^{3} y^{2}}$
13908	Simplify	sixth root of x^3y^212 root of x^6y^44	$\sqrt[6]{x^{3} y^{2}} \sqrt[12]{x^{6} y^{44}}$
13909	Simplify	seventh root of 21	$\sqrt[7]{21}$
13910	Simplify	(x square root of 18x^3)/(4 square root of 6x)	$\frac{x \sqrt{18 x^{3}}}{4 \sqrt{6 x}}$
13911	Simplify	5 square root of 6(2x)^2	$5 \sqrt{6 {(2 x)}^{2}}$
13912	Simplify	(x-4)/(2- square root of x)	$\frac{x - 4}{2 - \sqrt{x}}$
13913	Simplify	(x-5)/(10-2x)	$\frac{x - 5}{10 - 2 x}$
13914	Simplify	(x-9)/( square root of x+3)	$\frac{x - 9}{\sqrt{x} + 3}$
13915	Simplify	(x+3)/(9-x^2)	$\frac{x + 3}{9 - x^{2}}$
13916	Simplify	(x-3)/(x^2-5x+6)	$\frac{x - 3}{x^{2} - 5 x + 6}$
13917	Simplify	2 square root of 100	$2 \sqrt{100}$
13918	Simplify	(x-8)/(x^2-9)	$\frac{x - 8}{x^{2} - 9}$
13919	Simplify	(z+1)/(z^3+1)	$\frac{z + 1}{z^{3} + 1}$
13920	Simplify	(b^(5/4)*b^(3/4))/(b^(1/4))	$\frac{b^{\frac{5}{4}} \cdot b^{\frac{3}{4}}}{b^{\frac{1}{4}}}$
13921	Simplify	(a^-3b^4)/(a^-6b^-6)	$\frac{a^{- 3} b^{4}}{a^{- 6} b^{- 6}}$
13922	Simplify	(2/a+4)/(4+2/b)	$\frac{\frac{2}{a} + 4}{4 + \frac{2}{b}}$
13923	Simplify	(5/(x+1)-5)/(5/(x-1)+5)	$\frac{\frac{5}{x + 1} - 5}{\frac{5}{x - 1} + 5}$
13924	Simplify	(2/x)/(2/x+1)	$\frac{\frac{2}{x}}{\frac{2}{x} + 1}$
13925	Simplify	(7/64-7/(8x))/(x/64-1/x)	$\frac{\frac{7}{64} - \frac{7}{8 x}}{\frac{x}{64} - \frac{1}{x}}$
13926	Simplify	(b^(1/3))/(b^(1/4)b^(-3/4))	$\frac{b^{\frac{1}{3}}}{b^{\frac{1}{4}} b^{- \frac{3}{4}}}$
13927	Simplify	(4/(x-2)+4)/(3/(x-2)+3)	$\frac{\frac{4}{x - 2} + 4}{\frac{3}{x - 2} + 3}$
13928	Simplify	(3/(x^2+h)-3/(x^2))/h	$\frac{\frac{3}{x^{2} + h} - \frac{3}{x^{2}}}{h}$
13929	Simplify	(3^x)/(3^(1-x))	$\frac{3^{x}}{3^{1 - x}}$
13930	Simplify	((3pi)/2)/2	$\frac{\frac{3 π}{2}}{2}$
13931	Simplify	((x+h)^3-7(x+h)-(x^3-7x))/h	$\frac{{(x + h)}^{3} - 7 (x + h) - (x^{3} - 7 x)}{h}$
13932	Simplify	(1/((x+h)^3)+1/(x^3))/h	$\frac{\frac{1}{{(x + h)}^{3}} + \frac{1}{x^{3}}}{h}$
13933	Simplify	(1/(x^2)-1/(y^2))/(1/x+1/y)	$\frac{\frac{1}{x^{2}} - \frac{1}{y^{2}}}{\frac{1}{x} + \frac{1}{y}}$
13934	Simplify	(1/(x^3)-1/9)/(1/(x^2)-3)	$\frac{\frac{1}{x^{3}} - \frac{1}{9}}{\frac{1}{x^{2}} - 3}$
13935	Simplify	( square root of x+ square root of 3)^4	${(\sqrt{x} + \sqrt{3})}^{4}$
13936	Simplify	(1/a+1/b)/(1/(ab))	$\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a b}}$
13937	Simplify	(1/x-1/2)/(x-2)	$\frac{\frac{1}{x} - \frac{1}{2}}{x - 2}$
13938	Simplify	fourth root of 16a^2*0	$\sqrt[4]{16 a^{20}}$
13939	Simplify	(1/x-x)/(1-1/(x^2))	$\frac{\frac{1}{x} - x}{1 - \frac{1}{x^{2}}}$
13940	Simplify	((2x^2-19x+45)/(2x^2-3x-35))/((6x^2-5x-4)/(6x^2+13x-28))	$\frac{\frac{2 x^{2} - 19 x + 45}{2 x^{2} - 3 x - 35}}{\frac{6 x^{2} - 5 x - 4}{6 x^{2} + 13 x - 28}}$
13941	Simplify	(25/12+(x+1)/4)/(1/18-(x+1)/36)	$\frac{\frac{25}{12} + \frac{x + 1}{4}}{\frac{1}{18} - \frac{x + 1}{36}}$
13942	Simplify	((2x)/(x-3))/((2x)/(x-3)+2)	$\frac{\frac{2 x}{x - 3}}{\frac{2 x}{x - 3} + 2}$
13943	Simplify	( square root of x)/(3x-5)	$\frac{\sqrt{x}}{3 x - 5}$
13944	Simplify	( square root of x)/(9 square root of x)	$\frac{\sqrt{x}}{9 \sqrt{x}}$
13945	Simplify	( square root of 7+4i)/(5-3i)	$\frac{\sqrt{7} + 4 i}{5 - 3 i}$
13946	Simplify	( square root of a+h-3- square root of a-3)/h	$\frac{\sqrt{a + h - 3} - \sqrt{a - 3}}{h}$
13947	Simplify	( square root of x-1/(2 square root of x))/( square root of x)	$\frac{\sqrt{x} - \frac{1}{2 \sqrt{x}}}{\sqrt{x}}$
13948	Simplify	( square root of 64x^5)/( square root of 4x)	$\frac{\sqrt{64 x^{5}}}{\sqrt{4 x}}$
13949	Simplify	( square root of 8)/7	$\frac{\sqrt{8}}{7}$
13950	Simplify	( square root of 5)/(3- square root of 5)	$\frac{\sqrt{5}}{3 - \sqrt{5}}$
13951	Simplify	( square root of 6)/4	$\frac{\sqrt{6}}{4}$
13952	Simplify	( square root of 3)^4	${(\sqrt{3})}^{4}$
13953	Simplify	( square root of 32x^7y^5)/( cube root of 2xy)	$\frac{\sqrt{32 x^{7} y^{5}}}{\sqrt[3]{2 x y}}$
13954	Simplify	( square root of 192x^3)/( square root of 6x^-7)	$\frac{\sqrt{192 x^{3}}}{\sqrt{6 x^{- 7}}}$
13955	Simplify	(e^1.5-e^-1.5)/2	$\frac{e^{1.5} - e^{- 1.5}}{2}$
13956	Simplify	(-h^2-5h)/h	$\frac{- h^{2} - 5 h}{h}$
13957	Simplify	( square root of 16x^2 square root of x)/( fourth root of 81x^5)	$\frac{\sqrt{16 x^{2} \sqrt{x}}}{\sqrt[4]{81 x^{5}}}$
13958	Simplify	((s+6)/s)/(4/s)	$\frac{\frac{s + 6}{s}}{\frac{4}{s}}$
13959	Simplify	( square root of (-7)^2+(-7)^2)/((3)^2)	$\frac{\sqrt{{(- 7)}^{2} + {(- 7)}^{2}}}{{(3)}^{2}}$
13960	Simplify	((x-3)/1)/(x/1-3/(x-2))	$\frac{\frac{x - 3}{1}}{\frac{x}{1} - \frac{3}{x - 2}}$
13961	Simplify	((x-y)/x+(x-y)/y)/((x-y)/y-(x-y)/x)	$\frac{\frac{x - y}{x} + \frac{x - y}{y}}{\frac{x - y}{y} - \frac{x - y}{x}}$
13962	Simplify	(y^2-25)/(y+5)	$\frac{y^{2} - 25}{y + 5}$
13963	Simplify	(y^2-3y-18)/(2y^2+5y+3)	$\frac{y^{2} - 3 y - 18}{2 y^{2} + 5 y + 3}$
13964	Simplify	((x+3)/(4x^2-9))/((x^2+7x+12)/(2x^2+7x-15))	$\frac{\frac{x + 3}{4 x^{2} - 9}}{\frac{x^{2} + 7 x + 12}{2 x^{2} + 7 x - 15}}$
13965	Simplify	1/((1/(2x)-3)+6)	$\frac{1}{(\frac{1}{2 x} - 3) + 6}$
13966	Simplify	\|1- square root of 5\|	$\| 1 - \sqrt{5} \|$
13967	Simplify	1/(( square root of 21)/5)	$\frac{1}{\frac{\sqrt{21}}{5}}$
13968	Simplify	1/(2/( square root of x)+1)	$\frac{1}{\frac{2}{\sqrt{x}} + 1}$
13969	Simplify	1/((1/(x+3))+3)	$\frac{1}{(\frac{1}{x + 3}) + 3}$
13970	Simplify	(x^4)/(x^9)	$\frac{x^{4}}{x^{9}}$
13971	Simplify	(x^4+2x^3-4x^2-5x-6)/(x^2+x-2)	$\frac{x^{4} + 2 x^{3} - 4 x^{2} - 5 x - 6}{x^{2} + x - 2}$
13972	Simplify	(x^3-64)/(x^2-3x-4)	$\frac{x^{3} - 64}{x^{2} - 3 x - 4}$
13973	Simplify	(x^3-64x)/(x^2+7x-8)	$\frac{x^{3} - 64 x}{x^{2} + 7 x - 8}$
13974	Simplify	(x^3+7x^2+10x)/(x^2+8x+15)	$\frac{x^{3} + 7 x^{2} + 10 x}{x^{2} + 8 x + 15}$
13975	Simplify	(x^4y^9)/(x^9y^3)	$\frac{x^{4} y^{9}}{x^{9} y^{3}}$
13976	Simplify	(x^5(-3)(x^2+1)^-4(2x)-(x^2+1)^-3*5x^4)/((x^5)^2)	$\frac{x^{5} (- 3) {(x^{2} + 1)}^{- 4} (2 x) - {(x^{2} + 1)}^{- 3} \cdot 5 x^{4}}{{(x^{5})}^{2}}$
13977	Simplify	(x^2-7x+6)/(x^2+11x+10)	$\frac{x^{2} - 7 x + 6}{x^{2} + 11 x + 10}$
13978	Simplify	(x^2-6x+9)/(x^2-x-6)	$\frac{x^{2} - 6 x + 9}{x^{2} - x - 6}$
13979	Simplify	(x^2-x-12)/(16-x^2)	$\frac{x^{2} - x - 12}{16 - x^{2}}$
13980	Simplify	(x^2-x-12)/(x+3)	$\frac{x^{2} - x - 12}{x + 3}$
13981	Simplify	(x^3y^-2z^4)/(x^5y^-2z^-2)	$\frac{x^{3} y^{- 2} z^{4}}{x^{5} y^{- 2} z^{- 2}}$
13982	Simplify	(x^3+2x^2)/(x+2)	$\frac{x^{3} + 2 x^{2}}{x + 2}$
13983	Simplify	( square root of x-4)^2	${(\sqrt{x - 4})}^{2}$
13984	Simplify	( cube root of x^8y^2)/( square root of xy)	$\frac{\sqrt[3]{x^{8} y^{2}}}{\sqrt{x y}}$
13985	Simplify	( square root of y)^3	${(\sqrt{y})}^{3}$
13986	Simplify	( square root of x+9h+ square root of x)/( square root of x+9h- square root of x)	$\frac{\sqrt{x + 9 h} + \sqrt{x}}{\sqrt{x + 9 h} - \sqrt{x}}$
13987	Simplify	( square root of x+h- square root of h)/x	$\frac{\sqrt{x + h} - \sqrt{h}}{x}$
13988	Simplify	( cube root of 8x^2)/( square root of x)	$\frac{\sqrt[3]{8 x^{2}}}{\sqrt{x}}$
13989	Simplify	( cube root of 8x^4)/( square root of x)	$\frac{\sqrt[3]{8 x^{4}}}{\sqrt{x}}$
13990	Simplify	( cube root of x)/( fifth root of x)	$\frac{\sqrt[3]{x}}{\sqrt[5]{x}}$
13991	Simplify	(x/y-y/x)/(1/(8x^2)-1/(8y^2))	$\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{8 x^{2}} - \frac{1}{8 y^{2}}}$
13992	Simplify	(x^(1/2)-2x^(-1/2))/(x^(-1/2))	$\frac{x^{\frac{1}{2}} - 2 x^{- \frac{1}{2}}}{x^{- \frac{1}{2}}}$
13993	Simplify	(x^2+14+45)/(x^2-25)	$\frac{x^{2} + 14 + 45}{x^{2} - 25}$
13994	Simplify	(x^2+2x-3)/(x^2-3x+2)	$\frac{x^{2} + 2 x - 3}{x^{2} - 3 x + 2}$
13995	Simplify	(x^2+6x+8)/(x^2+5x+4)	$\frac{x^{2} + 6 x + 8}{x^{2} + 5 x + 4}$
13996	Simplify	(x^2+x-2)/(x^2-3x-4)	$\frac{x^{2} + x - 2}{x^{2} - 3 x - 4}$
13997	Simplify	(x^2-25)/(x^2-2x-15)	$\frac{x^{2} - 25}{x^{2} - 2 x - 15}$
13998	Simplify	(x^2-2x)/(x^2-4)	$\frac{x^{2} - 2 x}{x^{2} - 4}$
13999	Simplify	(x^2-2x)/(x^4-16)	$\frac{x^{2} - 2 x}{x^{4} - 16}$
14000	Simplify	(-x^2-2xh-h^2-4x-4h+7-6x+2)/h	$\frac{- x^{2} - 2 x h - h^{2} - 4 x - 4 h + 7 - 6 x + 2}{h}$