Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5101	Simplify	( square root of x)/( square root of 13+ square root of 11)	$\frac{\sqrt{x}}{\sqrt{13} + \sqrt{11}}$
5102	Simplify	( square root of x+h- square root of h)/x	$\frac{\sqrt{x + h - \sqrt{h}}}{x}$
5103	Simplify	((v^2-3v-40)/(v^2-10v+25))÷((v-8)/(v-5))	$\frac{v^{2} - 3 v - 40}{v^{2} - 10 v + 25} \div \frac{v - 8}{v - 5}$
5104	Simplify	( square root of 54)/6	$\frac{\sqrt{54}}{6}$
5105	Simplify	( square root of -75)/( square root of 3)	$\frac{\sqrt{- 75}}{\sqrt{3}}$
5106	Simplify	( square root of 8y^3)/( square root of 2y)	$\frac{\sqrt{8 y^{3}}}{\sqrt{2 y}}$
5107	Simplify	( square root of 96a^5b)/( square root of 3ab^3)	$\frac{\sqrt{96 a^{5} b}}{\sqrt{3 a b^{3}}}$
5108	Simplify	(x/9-1/x)/(1-3/x)	$\frac{\frac{x}{9} - \frac{1}{x}}{1 - \frac{3}{x}}$
5109	Simplify	(x^(1/3)x^(-1/2))/(x^(1/4))	$\frac{x^{\frac{1}{3}} x^{- \frac{1}{2}}}{x^{\frac{1}{4}}}$
5110	Simplify	( cube root of 48)/( cube root of 10)	$\frac{\sqrt[3]{48}}{\sqrt[3]{10}}$
5111	Simplify	( square root of 6x^11y^12)/( square root of 7x^5y^7)	$\frac{\sqrt{6 x^{11} y^{12}}}{\sqrt{7 x^{5} y^{7}}}$
5112	Simplify	( fifth root of 20x^7)/( square root of 5x)	$\frac{\sqrt[5]{20 x^{7}}}{\sqrt{5 x}}$
5113	Simplify	( cube root of 125x^7y^9)/( fourth root of 81x^16y^80)	$\frac{\sqrt[3]{125 x^{7} y^{9}}}{\sqrt[4]{81 x^{16} y^{80}}}$
5114	Simplify	( cube root of 8x^4y^6)/( cube root of 2x^4y^6)	$\frac{\sqrt[3]{8 x^{4} y^{6}}}{\sqrt[3]{2 x^{4} y^{6}}}$
5115	Simplify	( fourth root of ab^4)/( fourth root of a^2b^4)	$\frac{\sqrt[4]{a b^{4}}}{\sqrt[4]{a^{2} b^{4}}}$
5116	Simplify	( fourth root of 486x^12y^22)/( fourth root of 6x^4y)	$\frac{\sqrt[4]{486 x^{12} y^{22}}}{\sqrt[4]{6 x^{4} y}}$
5117	Simplify	((25x-50y)/30)/((x-2y)/(6x))	$\frac{\frac{25 x - 50 y}{30}}{\frac{x - 2 y}{6 x}}$
5118	Simplify	(3/(y-2)-1/y)/(1/y+1/(y-2))	$\frac{\frac{3}{y - 2} - \frac{1}{y}}{\frac{1}{y} + \frac{1}{y - 2}}$
5119	Simplify	(3/4-x)/(3/4+x)	$\frac{\frac{3}{4} - x}{\frac{3}{4} + x}$
5120	Simplify	((5x^2yz)/(3w^2))/((5xz)/(9w))	$\frac{\frac{5 x^{2} y z}{3 w^{2}}}{\frac{5 x z}{9 w}}$
5121	Simplify	(6/w+7/x)/(7/w-6/x)	$\frac{\frac{6}{w} + \frac{7}{x}}{\frac{7}{w} - \frac{6}{x}}$
5122	Simplify	(((a^2+4a+4)/(a^2+6a+9))÷((a^2+2a)/(a-3)))÷((a^2+5a+6)/(a-2))	$\frac{a^{2} + 4 a + 4}{a^{2} + 6 a + 9} \div \frac{a^{2} + 2 a}{a - 3} \div \frac{a^{2} + 5 a + 6}{a - 2}$
5123	Simplify	((6a^2)/(b^3))/((3a)/(2b))	$\frac{\frac{6 a^{2}}{b^{3}}}{\frac{3 a}{2 b}}$
5124	Simplify	(a^2-36)/(a^2+9a+18)	$\frac{a^{2} - 36}{a^{2} + 9 a + 18}$
5125	Simplify	(a^2-9)/(a^2+7a+12)	$\frac{a^{2} - 9}{a^{2} + 7 a + 12}$
5126	Simplify	(a^3-b^3)/(a-b)	$\frac{a^{3} - b^{3}}{a - b}$
5127	Simplify	(b^(3/2)b^(-1/4))/(b^(1/3))	$\frac{b^{\frac{3}{2}} b^{- \frac{1}{4}}}{b^{\frac{1}{3}}}$
5128	Simplify	( square root of -175)/( square root of 7)	$\frac{\sqrt{- 175}}{\sqrt{7}}$
5129	Simplify	(p^2+4p-43)/(p+9)	$\frac{p^{2} + 4 p - 43}{p + 9}$
5130	Simplify	( square root of 120x^7)/( square root of 30x^2)	$\frac{\sqrt{120 x^{7}}}{\sqrt{30 x^{2}}}$
5131	Simplify	(s^2-16)/(s^2-8s+16)	$\frac{s^{2} - 16}{s^{2} - 8 s + 16}$
5132	Simplify	( square root of 2x)/( square root of y)	$\frac{\sqrt{2 x}}{\sqrt{y}}$
5133	Simplify	( square root of 3)/( square root of 13)	$\frac{\sqrt{3}}{\sqrt{13}}$
5134	Simplify	( square root of 36+h-6)/h	$\frac{\sqrt{36 + h} - 6}{h}$
5135	Simplify	(q^2-16)/(q^2-8q+16)	$\frac{q^{2} - 16}{q^{2} - 8 q + 16}$
5136	Simplify	(r^3-s^3)/(r-s)	$\frac{r^{3} - s^{3}}{r - s}$
5137	Simplify	( square root of (a+b)^5r^2y^3)/( square root of 0.25(a+b)r^-6y^5)	$\frac{\sqrt{{(a + b)}^{5} r^{2} y^{3}}}{\sqrt{0.25 (a + b) r^{- 6} y^{5}}}$
5138	Simplify	(s^2-36)/(s^2-12s+36)	$\frac{s^{2} - 36}{s^{2} - 12 s + 36}$
5139	Simplify	(a^(-n))/(b^(-n))	$\frac{a^{- n}}{b^{- n}}$
5140	Simplify	((c^2+11c+24)/(c^2-2c-15))÷(c^2+3c-40)	$\frac{c^{2} + 11 c + 24}{c^{2} - 2 c - 15} \div (c^{2} + 3 c - 40)$
5141	Simplify	(e^(jat)*e^(jat))/2	$\frac{e^{j a t} \cdot e^{j a t}}{2}$
5142	Simplify	(m/(x+y))/(a/(x+y))	$\frac{\frac{m}{x + y}}{\frac{a}{x + y}}$
5143	Simplify	(m^2-9m)/(9-m)	$\frac{m^{2} - 9 m}{9 - m}$
5144	Simplify	(n^2-3n-10)/(25-n^2)	$\frac{n^{2} - 3 n - 10}{25 - n^{2}}$
5145	Simplify	(a^2-49)/(a^2+10a+21)	$\frac{a^{2} - 49}{a^{2} + 10 a + 21}$
5146	Simplify	(p^2+2p-43)/(p+8)	$\frac{p^{2} + 2 p - 43}{p + 8}$
5147	Simplify	(p^5q^6)/(pq^8)	$\frac{p^{5} q^{6}}{p q^{8}}$
5148	Simplify	(15x^4-21x^3+9x)/(3x)	$\frac{15 x^{4} - 21 x^{3} + 9 x}{3 x}$
5149	Simplify	(15v^4+9v^3-21v^2)/(3v^2)	$\frac{15 v^{4} + 9 v^{3} - 21 v^{2}}{3 v^{2}}$
5150	Simplify	(16x^2+20x+25)/(64x^3-125)	$\frac{16 x^{2} + 20 x + 25}{64 x^{3} - 125}$
5151	Simplify	(18cd^6)/(24c^3d^2)	$\frac{18 c d^{6}}{24 c^{3} d^{2}}$
5152	Simplify	(18x^9-42^7+30x^2)/(6x)	$\frac{18 x^{9} - 42^{7} + 30 x^{2}}{6 x}$
5153	Simplify	1/6*(7x-18)	$\frac{1}{6} \cdot (7 x - 18)$
5154	Simplify	(1+ square root of 5)/2	$\frac{1 + \sqrt{5}}{2}$
5155	Simplify	(x^6+4x^4-4x-1)/(x^3-1)	$\frac{x^{6} + 4 x^{4} - 4 x - 1}{x^{3} - 1}$
5156	Simplify	(x^8)/(x^2)	$\frac{x^{8}}{x^{2}}$
5157	Simplify	(x^8)/(x^3)	$\frac{x^{8}}{x^{3}}$
5158	Simplify	(y^2+8y-20)/(y^2-11y+18)	$\frac{y^{2} + 8 y - 20}{y^{2} - 11 y + 18}$
5159	Simplify	(x^2-x-20)/(5-x)	$\frac{x^{2} - x - 20}{5 - x}$
5160	Simplify	((x^2-x-6)/(x^2+2x-3))÷((x-3)/(4x+12))	$\frac{x^{2} - x - 6}{x^{2} + 2 x - 3} \div \frac{x - 3}{4 x + 12}$
5161	Simplify	(x^3-4x^2-3x+3)/(x-2)	$\frac{x^{3} - 4 x^{2} - 3 x + 3}{x - 2}$
5162	Simplify	(y^6)/(y^2)	$\frac{y^{6}}{y^{2}}$
5163	Simplify	1/(m^-4)	$\frac{1}{m^{- 4}}$
5164	Simplify	\| square root of 14\|	$\| \sqrt{14} \|$
5165	Simplify	1/(x^-3+y^-5)	$\frac{1}{x^{- 3} + y^{- 5}}$
5166	Simplify	1/( square root of 5y)	$\frac{1}{\sqrt{5 y}}$
5167	Simplify	1/(2 square root of x)	$\frac{1}{2 \sqrt{x}}$
5168	Simplify	((x-y)/(x+y)+(x+y)/(x-y))/(x/y+y/x)	$\frac{\frac{x - y}{x + y} + \frac{x + y}{x - y}}{\frac{x}{y} + \frac{y}{x}}$
5169	Simplify	(y^2-4y+6)/y	$\frac{y^{2} - 4 y + 6}{y}$
5170	Simplify	(y^7)/(y^4)	$\frac{y^{7}}{y^{4}}$
5171	Simplify	(z^2-3z-18)/(7z^3-4z^2)*(x(49z^3-16z))/(6z-36)	$\frac{z^{2} - 3 z - 18}{7 z^{3} - 4 z^{2}} \cdot \frac{x (49 z^{3} - 16 z)}{6 z - 36}$
5172	Simplify	\|- square root of 5\|	$\| - \sqrt{5} \|$
5173	Simplify	(3x-x^2)/(x^2-9)	$\frac{3 x - x^{2}}{x^{2} - 9}$
5174	Simplify	(36-y^2)/(y-6)	$\frac{36 - y^{2}}{y - 6}$
5175	Simplify	(3-x)/(x-3)	$\frac{3 - x}{x - 3}$
5176	Simplify	((3y+3)/(6y+12))÷(18/(5y+5))	$\frac{3 y + 3}{6 y + 12} \div \frac{18}{5 y + 5}$
5177	Simplify	(4a^3b^3)/(3b^3)	$\frac{4 a^{3} b^{3}}{3 b^{3}}$
5178	Simplify	(2ac+2ad)/(3a^2c+3a^2d)	$\frac{2 a c + 2 a d}{3 a^{2} c + 3 a^{2} d}$
5179	Simplify	(3y^2+17y+20)/(2y^2+7y-4)	$\frac{3 y^{2} + 17 y + 20}{2 y^{2} + 7 y - 4}$
5180	Simplify	-3/(5-2 square root of x)	$\frac{- 3}{5 - 2 \sqrt{x}}$
5181	Simplify	3/(x-5)	$\frac{3}{x - 5}$
5182	Simplify	(30m^3+25m^2+20m)/(5m^2)	$\frac{30 m^{3} + 25 m^{2} + 20 m}{5 m^{2}}$
5183	Simplify	(30k-20)/(90k)	$\frac{30 k - 20}{90 k}$
5184	Simplify	(-34/n)÷(-51/n)	$\frac{- 34}{n} \div \frac{- 51}{n}$
5185	Simplify	(-36y^7z^3+12y^3z^5-8y^7z^6)/(4y^3z^5)	$\frac{- 36 y^{7} z^{3} + 12 y^{3} z^{5} - 8 y^{7} z^{6}}{4 y^{3} z^{5}}$
5186	Simplify	(2x-y)/(y-2x)	$\frac{2 x - y}{y - 2 x}$
5187	Simplify	(3a^2b^3)/(3 square root of 125a^3b^3)	$\frac{3 a^{2} b^{3}}{3 \sqrt{125 a^{3} b^{3}}}$
5188	Simplify	(2x-15)/(x+9)	$\frac{2 x - 15}{x + 9}$
5189	Simplify	(3q^2+9q+6)/(9q^2-36q-45)	$\frac{3 q^{2} + 9 q + 6}{9 q^{2} - 36 q - 45}$
5190	Simplify	3( square root of 32x)^3	$3 {(\sqrt{32 x})}^{3}$
5191	Simplify	(3- cube root of 3x+3)/(a( cube root of x-2))	$\frac{3 - \sqrt[3]{3 x + 3}}{a (\sqrt[3]{x} - 2)}$
5192	Simplify	(3x^2-x^3)/(3x^2-5x-12)	$\frac{3 x^{2} - x^{3}}{3 x^{2} - 5 x - 12}$
5193	Simplify	(3a^2+8a-7)/(a+2)	$\frac{3 a^{2} + 8 a - 7}{a + 2}$
5194	Simplify	(3x^2+11x+6)/(x+3)	$\frac{3 x^{2} + 11 x + 6}{x + 3}$
5195	Simplify	(3x^3+x^2-6x+3)/(x+2)	$\frac{3 x^{3} + x^{2} - 6 x + 3}{x + 2}$
5196	Simplify	(3y^3-y^2-y-1)/(y-1)	$\frac{3 y^{3} - y^{2} - y - 1}{y - 1}$
5197	Simplify	-3/( square root of 6-2)	$\frac{- 3}{\sqrt{6} - 2}$
5198	Simplify	(20x^8+8x^7+32x^3)/(4x^5)	$\frac{20 x^{8} + 8 x^{7} + 32 x^{3}}{4 x^{5}}$
5199	Simplify	(24x^4-32x^3+16x^2)/(8x^2)	$\frac{24 x^{4} - 32 x^{3} + 16 x^{2}}{8 x^{2}}$
5200	Simplify	(27+ square root of 63)/3	$\frac{27 + \sqrt{63}}{3}$