Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12401	Simplify	square root of 49y^5	$\sqrt{49 y^{5}}$
12402	Expand the Trigonometric Expression	sin(2theta)	$\sin (2 θ)$
12403	Simplify	square root of 45x^14	$\sqrt{45 x^{14}}$
12404	Simplify	square root of 4x+7	$\sqrt{4 x + 7}$
12405	Simplify	square root of 5- square root of 5cos(x)	$\sqrt{5 - \sqrt{5 \cos (x)}}$
12406	Simplify	square root of 274	$\sqrt{274}$
12407	Simplify	- square root of 2i	$- \sqrt{2 i}$
12408	Simplify	square root of 3- square root of 3i	$\sqrt{3 - \sqrt{3 i}}$
12409	Simplify	square root of 3(10+ square root of 12)	$\sqrt{3} (10 + \sqrt{12})$
12410	Simplify	square root of 3sin(1)	$\sqrt{3} \sin (1)$
12411	Simplify	square root of 364	$\sqrt{364}$
12412	Simplify	cube root of a^12	$\sqrt[3]{a^{12}}$
12413	Simplify	cube root of x^24	$\sqrt[3]{x^{24}}$
12414	Simplify	square root of cos(x)	$\sqrt{\cos (x)}$
12415	Simplify	cube root of a^3b cube root of 64a^4b^2	$\sqrt[3]{a^{3} b} \sqrt[3]{64 a^{4} b^{2}}$
12416	Simplify	cube root of (a^6(b^9))/-64	$\sqrt[3]{\frac{a^{6} (b^{9})}{- 64}}$
12417	Simplify	cube root of -108x^13y^14	$\sqrt[3]{- 108 x^{13} y^{14}}$
12418	Simplify	cube root of 0.001	$\sqrt[3]{0.001}$
12419	Simplify	cube root of x^5y^5	$\sqrt[3]{x^{5} y^{5}}$
12420	Simplify	10 root of x^6	$\sqrt[10]{x^{6}}$
12421	Simplify	square root of 80*(3 square root of 20)	$\sqrt{80 \cdot (3 \sqrt{20})}$
12422	Simplify	- square root of 81m^64	$- \sqrt{81 m^{64}}$
12423	Simplify	square root of 72-72cos(x)	$\sqrt{72 - 72 \cos (x)}$
12424	Simplify	square root of 98c^4	$\sqrt{98 c^{4}}$
12425	Simplify	square root of 9y^9	$\sqrt{9 y^{9}}$
12426	Simplify	square root of 9i	$\sqrt{9 i}$
12427	Simplify	square root of 9-(3sin(x))^2	$\sqrt{9 - {(3 \sin (x))}^{2}}$
12428	Solve for x	3cot(x)^2-1=0	$3 \cot^{2} (x) - 1 = 0$
12429	Simplify	(9-9i)/( square root of 3+i)	$\frac{9 - 9 i}{\sqrt{3} + i}$
12430	Simplify	arccos(( square root of 2)/3)	$\arccos (\frac{\sqrt{2}}{3})$
12431	Simplify	arccos(-( square root of 2)/5)	$\arccos (- \frac{\sqrt{2}}{5})$
12432	Simplify	arccos(1/( square root of 65))	$\arccos (\frac{1}{\sqrt{65}})$
12433	Simplify	arccos(-11/( square root of 221))	$\arccos (- \frac{11}{\sqrt{221}})$
12434	Simplify	arccos(32/( square root of 29* square root of 52))	$\arccos (\frac{32}{\sqrt{29} \cdot \sqrt{52}})$
12435	Simplify	(9-x^2)/(10x^2-28x-6)	$\frac{9 - x^{2}}{10 x^{2} - 28 x - 6}$
12436	Simplify	(7x-x^2)/(x^2-49)	$\frac{7 x - x^{2}}{x^{2} - 49}$
12437	Simplify	7/(2- square root of 3)	$\frac{7}{2 - \sqrt{3}}$
12438	Simplify	(8m^3+8m^2+12m)/(2m^2)	$\frac{8 m^{3} + 8 m^{2} + 12 m}{2 m^{2}}$
12439	Simplify	(8x^3+2x^2+23x+1)/(4x-1)	$\frac{8 x^{3} + 2 x^{2} + 23 x + 1}{4 x - 1}$
12440	Simplify	arccot( square root of 6)	$arccot (\sqrt{6})$
12441	Simplify	arccot(- square root of 11)	$arccot (- \sqrt{11})$
12442	Simplify	arccos(( square root of 7)/4)	$\arccos (\frac{\sqrt{7}}{4})$
12443	Simplify	arccos(9/( square root of 370))	$\arccos (\frac{9}{\sqrt{370}})$
12444	Simplify	arccos( square root of -3/2)	$\arccos (\sqrt{- \frac{3}{2}})$
12445	Simplify	arccos(- square root of 3/4)	$\arccos (- \sqrt{\frac{3}{4}})$
12446	Simplify	arccot(- square root of 10)	$arccot (- \sqrt{10})$
12447	Simplify	arccot( square root of 3/3)	$arccot (\sqrt{\frac{3}{3}})$
12448	Simplify	arcsin( square root of 6/5)	$\arcsin (\sqrt{\frac{6}{5}})$
12449	Simplify	arcsec(2 square root of 3/3)	$arcsec (2 \sqrt{\frac{3}{3}})$
12450	Simplify	arcsin((v(3))/2)	$\arcsin (\frac{v (3)}{2})$
12451	Simplify	pi/10	$\frac{π}{10}$
12452	Simplify	pi/43	$\frac{π}{43}$
12453	Simplify	square root of (1-(2/( square root of 29)))/2	$\sqrt{\frac{1 - (\frac{2}{\sqrt{29}})}{2}}$
12454	Simplify	square root of (sin(y)^2)/(2cos(y)^2)	$\sqrt{\frac{\sin^{2} (y)}{2 \cos^{2} (y)}}$
12455	Simplify	square root of (9tan(x))^2+81	$\sqrt{{(9 \tan (x))}^{2} + 81}$
12456	Simplify	square root of (2/5)/2	$\sqrt{\frac{\frac{2}{5}}{2}}$
12457	Simplify	- square root of (1+cos(225))/2	$- \sqrt{\frac{1 + \cos (225)}{2}}$
12458	Simplify	square root of (1+cos(45))/2	$\sqrt{\frac{1 + \cos (45)}{2}}$
12459	Simplify	square root of (1+cos(75))/2	$\sqrt{\frac{1 + \cos (75)}{2}}$
12460	Simplify	square root of 10^2+10^2	$\sqrt{10^{2} + 10^{2}}$
12461	Simplify	square root of 121/3721	$\sqrt{\frac{121}{3721}}$
12462	Simplify	square root of (1+2/9)/2	$\sqrt{\frac{1 + \frac{2}{9}}{2}}$
12463	Simplify	square root of 1-(cos(330))/2	$\sqrt{1 - \frac{\cos (330)}{2}}$
12464	Simplify	square root of 1-cos(x)(1+cos(x))	$\sqrt{1 - \cos (x)} (1 + \cos (x))$
12465	Simplify	square root of (-114.5)^2+(-110.9)^2	$\sqrt{{(- 114.5)}^{2} + {(- 110.9)}^{2}}$
12466	Simplify	square root of 1-sin(x)(1+sin(x))	$\sqrt{1 - \sin (x)} (1 + \sin (x))$
12467	Simplify	arctan(( square root of 10)/5)	$\arctan (\frac{\sqrt{10}}{5})$
12468	Simplify	arctan(( square root of 2)/2)	$\arctan (\frac{\sqrt{2}}{2})$
12469	Simplify	square root of (1-cos(4/5))/2	$\sqrt{\frac{1 - \cos (\frac{4}{5})}{2}}$
12470	Simplify	square root of (1-cos((7pi)/8))/2	$\sqrt{\frac{1 - \cos (\frac{7 π}{8})}{2}}$
12471	Simplify	square root of (1-cos(3/5))/2	$\sqrt{\frac{1 - \cos (\frac{3}{5})}{2}}$
12472	Simplify	square root of (1-cos((5pi)/8))/(1+cos((5pi)/8))	$\sqrt{\frac{1 - \cos (\frac{5 π}{8})}{1 + \cos (\frac{5 π}{8})}}$
12473	Simplify	square root of 160^2+35^2-216035*cos(125)	$\sqrt{160^{2} + 35^{2} - 2 \cdot 160 \cdot 35 \cdot \cos (125)}$
12474	Simplify	square root of (1-cos(330))/2	$\sqrt{\frac{1 - \cos (330)}{2}}$
12475	Simplify	square root of (1-cos(10))/2	$\sqrt{\frac{1 - \cos (10)}{2}}$
12476	Simplify	square root of (1-cos(16x))/2	$\sqrt{\frac{1 - \cos (16 x)}{2}}$
12477	Simplify	square root of (1-cos(45))/2	$\sqrt{\frac{1 - \cos (45)}{2}}$
12478	Simplify	square root of (2+sin(y))/(2-sin(y))	$\sqrt{\frac{2 + \sin (y)}{2 - \sin (y)}}$
12479	Simplify	square root of (1-cos(x))/(1+cos(x))	$\sqrt{\frac{1 - \cos (x)}{1 + \cos (x)}}$
12480	Simplify	square root of 21/25	$\sqrt{\frac{21}{25}}$
12481	Simplify	square root of (36y^2)/25	$\sqrt{\frac{36 y^{2}}{25}}$
12482	Simplify	- square root of 4/25	$- \sqrt{\frac{4}{25}}$
12483	Simplify	square root of 4032^2+1286^2	$\sqrt{4032^{2} + 1286^{2}}$
12484	Simplify	square root of -9^2+12^2	$\sqrt{- 9^{2} + 12^{2}}$
12485	Simplify	square root of (34-3 square root of 34)/(1+3 square root of 34)	$\sqrt{\frac{34 - 3 \sqrt{34}}{1 + 3 \sqrt{34}}}$
12486	Simplify	square root of 8^2+15^2	$\sqrt{8^{2} + 15^{2}}$
12487	Simplify	square root of 6^2+8^2	$\sqrt{6^{2} + 8^{2}}$
12488	Simplify	square root of sec((3pi)/4)^2-1	$\sqrt{\sec^{2} (\frac{3 π}{4}) - 1}$
12489	Simplify	square root of (sin(x))/(cos(x))	$\sqrt{\frac{\sin (x)}{\cos (x)}}$
12490	Simplify	square root of (98x^4y^2)/(2xy)	$\sqrt{\frac{98 x^{4} y^{2}}{2 x y}}$
12491	Simplify	square root of cos(x)^2	$\sqrt{\cos^{2} (x)}$
12492	Simplify	( square root of cube root of c^7d^2)/( square root of cd)	$\frac{\sqrt{\sqrt[3]{c^{7} d^{2}}}}{\sqrt{c d}}$
12493	Simplify	square root of x^18y^2	$\sqrt{x^{18} y^{2}}$
12494	Simplify	square root of x^2+2x	$\sqrt{x^{2} + 2 x}$
12495	Simplify	square root of 100x^14	$\sqrt{100 x^{14}}$
12496	Simplify	square root of 1-sec(x)^2	$\sqrt{1 - \sec^{2} (x)}$
12497	Simplify	square root of 12.5-12.5cos(x)	$\sqrt{12.5 - 12.5 \cos (x)}$
12498	Simplify	square root of 144x^12y^20	$\sqrt{144 x^{12} y^{20}}$
12499	Simplify	square root of 12 square root of 6	$\sqrt{12} \sqrt{6}$
12500	Simplify	square root of 10x square root of 10x	$\sqrt{10 x} \sqrt{10 x}$