Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20401	Simplify	(f(x+h)-2x^2-x+5)/h	$\frac{f (x + h) - 2 x^{2} - x + 5}{h}$
20402	Simplify	(n+4)/(n-4)	$\frac{n + 4}{n - 4}$
20403	Simplify	p( square root of 2/3*(40))^2((2(40))/( square root of 3))	$p {(\sqrt{\frac{2}{3} \cdot (40)})}^{2} (\frac{2 (40)}{\sqrt{3}})$
20404	Simplify	(p+(2p)(5))/6	$\frac{p + (2 p) (5)}{6}$
20405	Simplify	v((y) eighth root of y)	$v ((y) \sqrt[8]{y})$
20406	Simplify	v(((2)(43110^-3)(9.8))/((1.3)p(10.510^-3)^2))	$v (\frac{(2) (431 \cdot 10^{- 3}) (9.8)}{(1.3) p {(10.5 \cdot 10^{- 3})}^{2}})$
20407	Simplify	square root of 0.563	$\sqrt{0.563}$
20408	Simplify	square root of (3-1)^2+(3-1)^2	$\sqrt{{(3 - 1)}^{2} + {(3 - 1)}^{2}}$
20409	Simplify	square root of (5-3)^2-(5-3)^2	$\sqrt{{(5 - 3)}^{2} - {(5 - 3)}^{2}}$
20410	Simplify	square root of (5-3)^2+(5-3)^2	$\sqrt{{(5 - 3)}^{2} + {(5 - 3)}^{2}}$
20411	Simplify	square root of (6m^4n^5)/(12m^5n^4)	$\sqrt{\frac{6 m^{4} n^{5}}{12 m^{5} n^{4}}}$
20412	Simplify	square root of ((0.487x-35.999)^2)/(6-2)	$\sqrt{\frac{{(0.487 x - 35.999)}^{2}}{6 - 2}}$
20413	Simplify	square root of ((1-3)^2+(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2+(4-3)^2+(5-3)^2)/(10-1)	$\sqrt{\frac{{(1 - 3)}^{2} + {(1 - 3)}^{2} + {(2 - 3)}^{2} + {(3 - 3)}^{2} + {(3 - 3)}^{2} + {(3 - 3)}^{2} + {(4 - 3)}^{2} + {(4 - 3)}^{2} + {(4 - 3)}^{2} + {(5 - 3)}^{2}}{10 - 1}}$
20414	Simplify	square root of (b^4)/25	$\sqrt{\frac{b^{4}}{25}}$
20415	Simplify	square root of (x^4)/3* square root of (x^5)/3	$\sqrt{\frac{x^{4}}{3} \cdot \sqrt{\frac{x^{5}}{3}}}$
20416	Simplify	square root of (z^6)/(27x^9)	$\sqrt{\frac{z^{6}}{27 x^{9}}}$
20417	Simplify	square root of 10^5	$\sqrt{10^{5}}$
20418	Simplify	square root of 100/64	$\sqrt{\frac{100}{64}}$
20419	Simplify	square root of (101x^14)/(25y^8)	$\sqrt{\frac{101 x^{14}}{25 y^{8}}}$
20420	Simplify	square root of 120/( square root of 3)	$\sqrt{\frac{120}{\sqrt{3}}}$
20421	Simplify	square root of 13.28/9	$\sqrt{\frac{13.28}{9}}$
20422	Simplify	square root of (16x^3y^7)/(4z^6)	$\sqrt{\frac{16 x^{3} y^{7}}{4 z^{6}}}$
20423	Simplify	square root of (16y^7)/(x^8)	$\sqrt{\frac{16 y^{7}}{x^{8}}}$
20424	Simplify	square root of 16^4	$\sqrt{16^{4}}$
20425	Simplify	square root of 196/( square root of 2)	$\sqrt{\frac{196}{\sqrt{2}}}$
20426	Simplify	square root of 202/17	$\sqrt{\frac{202}{17}}$
20427	Simplify	square root of 23/2300	$\sqrt{\frac{23}{2300}}$
20428	Simplify	square root of (23x)/(29y)	$\sqrt{\frac{23 x}{29 y}}$
20429	Simplify	square root of 3^16	$\sqrt{3^{16}}$
20430	Simplify	square root of 300x^10	$\sqrt{300 x^{10}}$
20431	Simplify	square root of (3x)/(23y)	$\sqrt{\frac{3 x}{23 y}}$
20432	Simplify	square root of 5/(10x)	$\sqrt{\frac{5}{10 x}}$
20433	Simplify	square root of 7/(9a^2)	$\sqrt{\frac{7}{9 a^{2}}}$
20434	Simplify	square root of (72x^3)/(2x)	$\sqrt{\frac{72 x^{3}}{2 x}}$
20435	Simplify	square root of 96/2	$\sqrt{\frac{96}{2}}$
20436	Simplify	square root of a^3-b^3	$\sqrt{a^{3} - b^{3}}$
20437	Simplify	square root of a^6b^6	$\sqrt{a^{6} b^{6}}$
20438	Simplify	square root of u^9	$\sqrt{u^{9}}$
20439	Simplify	square root of square root of 243(x+1)	$\sqrt{\sqrt{243 (x + 1)}}$
20440	Simplify	square root of cube root of 36	$\sqrt{\sqrt[3]{36}}$
20441	Simplify	square root of y/11	$\sqrt{\frac{y}{11}}$
20442	Simplify	square root of 1 24/25	$\sqrt{1 \frac{24}{25}}$
20443	Simplify	square root of 10xz^10( square root of 30x^17z)	$\sqrt{10 x z^{10}} (\sqrt{30 x^{17} z})$
20444	Simplify	square root of 110.592	$\sqrt{110.592}$
20445	Simplify	square root of 112x^2y	$\sqrt{112 x^{2} y}$
20446	Simplify	square root of 12a^8b^9	$\sqrt{12 a^{8} b^{9}}$
20447	Simplify	square root of -1280-41201500	$\sqrt{- 1280 - 4 \cdot 120 \cdot 1500}$
20448	Simplify	square root of 16-4r^2	$\sqrt{16 - 4 r^{2}}$
20449	Simplify	square root of 18.64	$\sqrt{18.64}$
20450	Simplify	square root of 18x^11y^7	$\sqrt{18 x^{11} y^{7}}$
20451	Simplify	square root of 2a^2+4a+2	$\sqrt{2 a^{2} + 4 a + 2}$
20452	Simplify	square root of 2n^3	$\sqrt{2 n^{3}}$
20453	Simplify	square root of 2x^3y fourth root of 8xy^7	$\sqrt{2 x^{3} y} \sqrt[4]{8 x y^{7}}$
20454	Simplify	square root of 2( square root of 11- square root of 7)	$\sqrt{2} (\sqrt{11} - \sqrt{7})$
20455	Simplify	square root of 2( square root of 8+4 square root of 3)	$\sqrt{2} (\sqrt{8} + 4 \sqrt{3})$
20456	Simplify	square root of 20a^4b^5	$\sqrt{20 a^{4} b^{5}}$
20457	Simplify	square root of 200( square root of 2)	$\sqrt{200} (\sqrt{2})$
20458	Simplify	square root of 252x(6y^3)35	$\sqrt{252 x \cdot (6 y^{3}) \cdot 35}$
20459	Simplify	square root of 252x^9y^7	$\sqrt{252 x^{9} y^{7}}$
20460	Simplify	- square root of 26	$- \sqrt{26}$
20461	Simplify	((21x-147)/(7x-63))/((x^2-49)/(x^2-3x-54))	$\frac{\frac{21 x - 147}{7 x - 63}}{\frac{x^{2} - 49}{x^{2} - 3 x - 54}}$
20462	Simplify	(3x^4+10x^3+19x^2+90x-72)/(x^2+9)	$\frac{3 x^{4} + 10 x^{3} + 19 x^{2} + 90 x - 72}{x^{2} + 9}$
20463	Simplify	(4^(2+n)2^(4n+1)8^(2-n))/(2^(3n+1))	$\frac{4^{2 + n} \cdot 2^{4 n + 1} \cdot 8^{2 - n}}{2^{3 n + 1}}$
20464	Simplify	(5/a-3/(a^2))/(3/(a^2)+5/a)	$\frac{\frac{5}{a} - \frac{3}{a^{2}}}{\frac{3}{a^{2}} + \frac{5}{a}}$
20465	Simplify	(7/y)/(1/4-2/y)	$\frac{\frac{7}{y}}{\frac{1}{4} - \frac{2}{y}}$
20466	Simplify	(8/(x-1)+8)/(8/(x+1)-8)	$\frac{\frac{8}{x - 1} + 8}{\frac{8}{x + 1} - 8}$
20467	Simplify	((8x)/(x^2-49))/((4x-32)/(7x+99))	$\frac{\frac{8 x}{x^{2} - 49}}{\frac{4 x - 32}{7 x + 99}}$
20468	Simplify	(9/(x+3)-3/(x+7))/((x+9)/(x+3))	$\frac{\frac{9}{x + 3} - \frac{3}{x + 7}}{\frac{x + 9}{x + 3}}$
20469	Simplify	(a/b-c/d)/(b/a-d/c)	$\frac{\frac{a}{b} - \frac{c}{d}}{\frac{b}{a} - \frac{d}{c}}$
20470	Simplify	(a^2+ab+b^2)/(a^3-b^3)	$\frac{a^{2} + a b + b^{2}}{a^{3} - b^{3}}$
20471	Simplify	(a^2x-a^2y)/(a^2-ay^2)	$\frac{a^{2} x - a^{2} y}{a^{2} - a y^{2}}$
20472	Simplify	(a^9b^5)/(a^3b^15)	$\frac{a^{9} b^{5}}{a^{3} b^{15}}$
20473	Simplify	(m^(3/4))/(m^(5/4)m^-2)	$\frac{m^{\frac{3}{4}}}{m^{\frac{5}{4}} m^{- 2}}$
20474	Simplify	(p^2+3p-49)/(p+9)	$\frac{p^{2} + 3 p - 49}{p + 9}$
20475	Simplify	(p^8)/(p^3)	$\frac{p^{8}}{p^{3}}$
20476	Simplify	(t^2)/(t^-3)	$\frac{t^{2}}{t^{- 3}}$
20477	Simplify	(u^2-9u+18)/(45-5u^2)	$\frac{u^{2} - 9 u + 18}{45 - 5 u^{2}}$
20478	Simplify	( square root of 4x^2y^3)^4	${(\sqrt{4 x^{2} y^{3}})}^{4}$
20479	Simplify	( square root of 3/13)/( square root of 18)	$\frac{\sqrt{\frac{3}{13}}}{\sqrt{18}}$
20480	Simplify	( square root of (y+2)/(y-2)+ square root of (y-2)/(y+2))/( square root of (y+2)/(y-2)- square root of (y-2)/(y+2))	$\frac{\sqrt{\frac{y + 2}{y - 2}} + \sqrt{\frac{y - 2}{y + 2}}}{\sqrt{\frac{y + 2}{y - 2}} - \sqrt{\frac{y - 2}{y + 2}}}$
20481	Simplify	( square root of 100)/(2 square root of 25)	$\frac{\sqrt{100}}{2 \sqrt{25}}$
20482	Simplify	( square root of 12x^2)/48	$\frac{\sqrt{12 x^{2}}}{48}$
20483	Simplify	( square root of 13- square root of 14)/( square root of 13- square root of 14)	$\frac{\sqrt{13} - \sqrt{14}}{\sqrt{13} - \sqrt{14}}$
20484	Simplify	( square root of -14)/( square root of -7)	$\frac{\sqrt{- 14}}{\sqrt{- 7}}$
20485	Simplify	((x^2y)^-4)/((xy)^-3)	$\frac{{(x^{2} y)}^{- 4}}{{(x y)}^{- 3}}$
20486	Simplify	((3x^-3 square root of y)^4(2 square root of xy)^2)/((9x^-2y^3)^2)	$\frac{{(3 x^{- 3} \sqrt{y})}^{4} {(2 \sqrt{x} y)}^{2}}{{(9 x^{- 2} y^{3})}^{2}}$
20487	Simplify	((4x-16)/(5x+15))/((4-x)/(2x+6))	$\frac{\frac{4 x - 16}{5 x + 15}}{\frac{4 - x}{2 x + 6}}$
20488	Simplify	((xy)^(1/4)(x^2y^2)^(1/2))/((x^2y)^(3/4))	$\frac{{(x y)}^{\frac{1}{4}} {(x^{2} y^{2})}^{\frac{1}{2}}}{{(x^{2} y)}^{\frac{3}{4}}}$
20489	Simplify	(((y-7)^2)/12)/((12y-84)/144)	$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 y - 84}{144}}$
20490	Simplify	(((12y^2-7y-12)/(12y^2+25y+12))/(12y^2-25y+12))/(16y^2-24y+9)	$\frac{\frac{\frac{12 y^{2} - 7 y - 12}{12 y^{2} + 25 y + 12}}{12 y^{2} - 25 y + 12}}{16 y^{2} - 24 y + 9}$
20491	Simplify	((u^2-9)/(25u+75))/((5u^2-30u+45)/(125u+375))	$\frac{\frac{u^{2} - 9}{25 u + 75}}{\frac{5 u^{2} - 30 u + 45}{125 u + 375}}$
20492	Simplify	(x^2-9)/(x^3+2x^2-45)	$\frac{x^{2} - 9}{x^{3} + 2 x^{2} - 45}$
20493	Simplify	((x^2-9)/(56x))/((3-x)/(7xy))	$\frac{\frac{x^{2} - 9}{56 x}}{\frac{3 - x}{7 x y}}$
20494	Simplify	((x^2-x-6)/(2x^2-7x-15))/((x^2+6x+8)/(2x^2+11x+12))	$\frac{\frac{x^{2} - x - 6}{2 x^{2} - 7 x - 15}}{\frac{x^{2} + 6 x + 8}{2 x^{2} + 11 x + 12}}$
20495	Simplify	((x^3)/(5x^15))/((5x)/(25x^4))	$\frac{\frac{x^{3}}{5 x^{15}}}{\frac{5 x}{25 x^{4}}}$
20496	Simplify	(1/(x^2)-x^2)/(1/x+x)	$\frac{\frac{1}{x^{2}} - x^{2}}{\frac{1}{x} + x}$
20497	Simplify	(2/(u+1)+4/(u-8))/(5/(u+1))	$\frac{\frac{2}{u + 1} + \frac{4}{u - 8}}{\frac{5}{u + 1}}$
20498	Simplify	- fifth root of -1024	$- \sqrt[5]{- 1024}$
20499	Simplify	fifth root of 1215	$\sqrt[5]{1215}$
20500	Simplify	fifth root of -243x^(15y^5)	$\sqrt[5]{- 243 x^{15 y^{5}}}$