Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110301	Simplify	( square root of 21a)/( square root of 3a)	$\frac{\sqrt{21 a}}{\sqrt{3 a}}$
110302	Simplify	( square root of 18x^2y)/( square root of 2y^3)	$\frac{\sqrt{18 x^{2} y}}{\sqrt{2 y^{3}}}$
110303	Convert to a Decimal	37/16	$\frac{37}{16}$
110304	Simplify	( square root of 162x^3)/( square root of 2x)	$\frac{\sqrt{162 x^{3}}}{\sqrt{2 x}}$
110305	Simplify	( square root of 40)/( square root of 10)	$\frac{\sqrt{40}}{\sqrt{10}}$
110306	Write as a Single Logarithm	log base 8 of 32+ log base 8 of 2	$\log_{8} (32) + \log_{8} (2)$
110307	Simplify	( square root of 4x)/3	$\frac{\sqrt{4 x}}{3}$
110308	Write as a Single Logarithm	log base 3 of 4+ log base 3 of y+ log base 3 of 8x	$\log_{3} (4) + \log_{3} (y) + \log_{3} (8 x)$
110309	Simplify	( square root of 42)/( square root of 6)	$\frac{\sqrt{42}}{\sqrt{6}}$
110310	Simplify	( square root of 32x^3)/( square root of 2x)	$\frac{\sqrt{32 x^{3}}}{\sqrt{2 x}}$
110311	Simplify	( square root of 32y^3)/( square root of 2y)	$\frac{\sqrt{32 y^{3}}}{\sqrt{2 y}}$
110312	Simplify	( square root of 3)/( square root of 75)	$\frac{\sqrt{3}}{\sqrt{75}}$
110313	Simplify	( square root of 3)/(5- square root of 2)	$\frac{\sqrt{3}}{5 - \sqrt{2}}$
110314	Simplify	( square root of 3x^5)/(8x^2)	$\frac{\sqrt{3 x^{5}}}{8 x^{2}}$
110315	Write in y=mx+b Form	4x+5y-20=0	$4 x + 5 y - 20 = 0$
110316	Simplify	( square root of 5k^4+3 square root of 2k)/( square root of 3k^3)	$\frac{\sqrt{5 k^{4}} + 3 \sqrt{2 k}}{\sqrt{3 k^{3}}}$
110317	Simplify	( square root of 50x^3)/( square root of 32x^2)	$\frac{\sqrt{50 x^{3}}}{\sqrt{32 x^{2}}}$
110318	Convert to a Percentage	18/29	$\frac{18}{29}$
110319	Simplify	( square root of 7)/( square root of 14)	$\frac{\sqrt{7}}{\sqrt{14}}$
110320	Simplify	( square root of 7)/( square root of 6)	$\frac{\sqrt{7}}{\sqrt{6}}$
110321	Convert to Radical Form	2^(-3/4)	$2^{- \frac{3}{4}}$
110322	Simplify	( square root of 72x^3)/( square root of 8x)	$\frac{\sqrt{72 x^{3}}}{\sqrt{8 x}}$
110323	Simplify	( square root of 72xy)/(2 square root of 2)	$\frac{\sqrt{72 x y}}{2 \sqrt{2}}$
110324	Simplify	( square root of 6)/( square root of 14)	$\frac{\sqrt{6}}{\sqrt{14}}$
110325	Expand the Logarithmic Expression	log base 6 of u/v	$\log_{6} (\frac{u}{v})$
110326	Simplify	( square root of x-3)/(x-9)	$\frac{\sqrt{x} - 3}{x - 9}$
110327	Find the Roots (Zeros)	f(x)=(2x-1)(x-5)	$f (x) = (2 x - 1) (x - 5)$
110328	Simplify	( square root of x+4)/( square root of x-4)	$\frac{\sqrt{x} + 4}{\sqrt{x} - 4}$
110329	Simplify	( square root of -9)/(3-2i+(1+5i))	$\frac{\sqrt{- 9}}{3 - 2 i + (1 + 5 i)}$
110330	Simplify	( square root of 9)/( square root of 2x)	$\frac{\sqrt{9}}{\sqrt{2 x}}$
110331	Simplify	( square root of 80x^13y^9)/( square root of 80x^8y^4)	$\frac{\sqrt{80 x^{13} y^{9}}}{\sqrt{80 x^{8} y^{4}}}$
110332	Simplify	( square root of 8)/( square root of 100)	$\frac{\sqrt{8}}{\sqrt{100}}$
110333	Find the Vertex	y=x^2-10x-7	$y = x^{2} - 10 x - 7$
110334	Simplify	( square root of y)/( square root of y- square root of 5)	$\frac{\sqrt{y}}{\sqrt{y} - \sqrt{5}}$
110335	Determine if Odd, Even, or Neither	f(x)=x^4-4x^2+9	$f (x) = x^{4} - 4 x^{2} + 9$
110336	Simplify	( square root of x+h- square root of x)/h	$\frac{\sqrt{x + h} - \sqrt{x}}{h}$
110337	Simplify	( square root of z+ square root of x)/( square root of z- square root of x)	$\frac{\sqrt{z} + \sqrt{x}}{\sqrt{z} - \sqrt{x}}$
110338	Simplify	(v^2-3v-40)/(v^2-11v+24)	$\frac{v^{2} - 3 v - 40}{v^{2} - 11 v + 24}$
110339	Solve Using the Quadratic Formula	x^2+12x+28=0	$x^{2} + 12 x + 28 = 0$
110340	Simplify	( cube root of 2z)/( cube root of z^2)	$\frac{\sqrt[3]{2 z}}{\sqrt[3]{z^{2}}}$
110341	Simplify	( cube root of 6y^8)/( cube root of 125x^9)	$\frac{\sqrt[3]{6 y^{8}}}{\sqrt[3]{125 x^{9}}}$
110342	Simplify	( cube root of 162)/( cube root of 2)	$\frac{\sqrt[3]{162}}{\sqrt[3]{2}}$
110343	Determine if Odd, Even, or Neither	f(x)=1/(2x^3)	$f (x) = \frac{1}{2 x^{3}}$
110344	Simplify	( cube root of 16x^4)/( cube root of 2x)	$\frac{\sqrt[3]{16 x^{4}}}{\sqrt[3]{2 x}}$
110345	Simplify	(1/(x-9))/(1-1/(x-9))	$\frac{\frac{1}{x - 9}}{1 - \frac{1}{x - 9}}$
110346	Simplify	(1/(x-3))/(1-1/(x-3))	$\frac{\frac{1}{x - 3}}{1 - \frac{1}{x - 3}}$
110347	Find the Domain and Range	f(x)=-2x^2-2x-3	$f (x) = - 2 x^{2} - 2 x - 3$
110348	Simplify	(1/(k+6))/(3/(k^2-36))	$\frac{\frac{1}{k + 6}}{\frac{3}{k^{2} - 36}}$
110349	Simplify	((15xy^2)/(x^2-5x+6))/((5x^2y)/(2x^2-7x+3))	$\frac{\frac{15 x y^{2}}{x^{2} - 5 x + 6}}{\frac{5 x^{2} y}{2 x^{2} - 7 x + 3}}$
110350	Simplify	(3/x+2/(x+2))/(3/(x+2)-2/x)	$\frac{\frac{3}{x} + \frac{2}{x + 2}}{\frac{3}{x + 2} - \frac{2}{x}}$
110351	Simplify	(a^3+b^3)/(a+b)	$\frac{a^{3} + b^{3}}{a + b}$
110352	Simplify	(a^2-36)/(a^2+8a+12)	$\frac{a^{2} - 36}{a^{2} + 8 a + 12}$
110353	Find the Domain	f(x)=1/( square root of x-14)	$f (x) = \frac{1}{\sqrt{x - 14}}$
110354	Simplify	(r^2-64)/(r^2-16r+64)	$\frac{r^{2} - 64}{r^{2} - 16 r + 64}$
110355	Find the Domain	f(x) = square root of 40-5x	$f (x) = \sqrt{40 - 5 x}$
110356	Reduce the Fraction	60/180	$\frac{60}{180}$
110357	Simplify	(a^(5/4)a^(-1/4))/(a^(1/3))	$\frac{a^{\frac{5}{4}} a^{- \frac{1}{4}}}{a^{\frac{1}{3}}}$
110358	Simplify	(6/x-5)/((6-5x)/6)	$\frac{\frac{6}{x} - 5}{\frac{6 - 5 x}{6}}$
110359	Simplify	(5 square root of x+5)^2	${(5 \sqrt{x} + 5)}^{2}$
110360	Find the Asymptotes	y=1/(x-5)+6	$y = \frac{1}{x - 5} + 6$
110361	Simplify	(1/36-1/(x^2))/(1/6+1/x)	$\frac{\frac{1}{36} - \frac{1}{x^{2}}}{\frac{1}{6} + \frac{1}{x}}$
110362	Simplify	((x^2-4)/x)/((x+2)/(x-2))	$\frac{\frac{x^{2} - 4}{x}}{\frac{x + 2}{x - 2}}$
110363	Simplify	(((x+7)^2)/(x-7))/((x^2-49)/(7x-49))	$\frac{\frac{{(x + 7)}^{2}}{x - 7}}{\frac{x^{2} - 49}{7 x - 49}}$
110364	Simplify	(3x+12)/(x^2-16)	$\frac{3 x + 12}{x^{2} - 16}$
110365	Evaluate Using Scientific Notation	(810^7)(710^4)	$(8 \cdot 10^{7}) (7 \cdot 10^{4})$
110366	Simplify	(3+ square root of 2)/(6+3 square root of 2)	$\frac{3 + \sqrt{2}}{6 + 3 \sqrt{2}}$
110367	Simplify	(30- square root of (-30)^2-4-16190)/-60	$\frac{30 - \sqrt{{(- 30)}^{2} - 4 \cdot - 16 \cdot 190}}{- 60}$
110368	Find the Inverse	f(x)=2x^3-5	$f (x) = 2 x^{3} - 5$
110369	Simplify	4/( square root of 45x)	$\frac{4}{\sqrt{45 x}}$
110370	Find the Inverse	F(x)=(x+8)^5	$F (x) = {(x + 8)}^{5}$
110371	Find the Roots (Zeros)	3x^2-5x-7	$3 x^{2} - 5 x - 7$
110372	Simplify	(4s^3t^2-8st^4+18s^4t^3)/(10s^3t^2)	$\frac{4 s^{3} t^{2} - 8 s t^{4} + 18 s^{4} t^{3}}{10 s^{3} t^{2}}$
110373	Simplify	(4-x^2)/(x^2-5x+6)	$\frac{4 - x^{2}}{x^{2} - 5 x + 6}$
110374	Simplify	5/( square root of 10)	$\frac{5}{\sqrt{10}}$
110375	Simplify	5/(2+ square root of 3)	$\frac{5}{2 + \sqrt{3}}$
110376	Simplify	5/(2-2 square root of 6)	$\frac{5}{2 - 2 \sqrt{6}}$
110377	Convert to a Simplified Fraction	425%	$425 %$
110378	Simplify	5/(3+ square root of 2)	$\frac{5}{3 + \sqrt{2}}$
110379	Simplify	(c+64/(c^2))/(1+4/c)	$\frac{c + \frac{64}{c^{2}}}{1 + \frac{4}{c}}$
110380	Simplify	(9-4k)/(3k^2+13k+4)	$\frac{9 - 4 k}{3 k^{2} + 13 k + 4}$
110381	Simplify	9/( square root of 6)	$\frac{9}{\sqrt{6}}$
110382	Simplify	fourth root of 81x^4	$\sqrt[4]{81 x^{4}}$
110383	Find the Domain and Range	- sixth root of x	$- \sqrt[6]{x}$
110384	Simplify	(8x-3)/(3-8x)	$\frac{8 x - 3}{3 - 8 x}$
110385	Find the x and y Intercepts	y=(18-3x)/(x^2-9x+18)	$y = \frac{18 - 3 x}{x^{2} - 9 x + 18}$
110386	Simplify	8/( square root of 27x)	$\frac{8}{\sqrt{27 x}}$
110387	Find the x and y Intercepts	y=-4x^2+8x+3	$y = - 4 x^{2} + 8 x + 3$
110388	Simplify	8/( square root of 20)	$\frac{8}{\sqrt{20}}$
110389	Simplify	8/( cube root of 2x^2)	$\frac{8}{\sqrt[3]{2 x^{2}}}$
110390	Simplify	(8xy^2-14y^2)/(2y)	$\frac{8 x y^{2} - 14 y^{2}}{2 y}$
110391	Simplify	(6p-36)/18	$\frac{6 p - 36}{18}$
110392	Simplify	(6t-18)/(t^2-9)	$\frac{6 t - 18}{t^{2} - 9}$
110393	Convert to a Mixed Number	15.16	$15.16$
110394	Expand the Logarithmic Expression	natural log of 6/(7x^7y)	$\ln (\frac{6}{7 x^{7} y})$
110395	Simplify	(6x^2-9x^3+3)/3	$\frac{6 x^{2} - 9 x^{3} + 3}{3}$
110396	Simplify	(7-y)/(y-7)	$\frac{7 - y}{y - 7}$
110397	Simplify	7/( square root of 45x)	$\frac{7}{\sqrt{45 x}}$
110398	Simplify	7/( square root of 8x)	$\frac{7}{\sqrt{8 x}}$
110399	Simplify	7/( square root of 12)	$\frac{7}{\sqrt{12}}$
110400	Find the x and y Intercepts	f(x)=-3x^2+5x+4	$f (x) = - 3 x^{2} + 5 x + 4$