Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11801	Simplify	( square root of a+ square root of z)/(2 square root of a+ square root of z)	$\frac{\sqrt{a} + \sqrt{z}}{2 \sqrt{a} + \sqrt{z}}$
11802	Simplify	( square root of c-3)/( square root of c+3)	$\frac{\sqrt{c} - 3}{\sqrt{c} + 3}$
11803	Simplify	( square root of f- square root of g)/( square root of f+ square root of g)	$\frac{\sqrt{f} - \sqrt{g}}{\sqrt{f} + \sqrt{g}}$
11804	Simplify	( square root of n)/( cube root of n)	$\frac{\sqrt{n}}{\sqrt[3]{n}}$
11805	Simplify	( square root of r)/(3- square root of r)	$\frac{\sqrt{r}}{3 - \sqrt{r}}$
11806	Simplify	( square root of u-5)/(5+ square root of u)	$\frac{\sqrt{u} - 5}{5 + \sqrt{u}}$
11807	Simplify	( square root of z-3- square root of z)/3	$\frac{\sqrt{z - 3} - \sqrt{z}}{3}$
11808	Simplify	(v^(5/6))/(v^(1/6))	$\frac{v^{\frac{5}{6}}}{v^{\frac{1}{6}}}$
11809	Simplify	(v^2+14v+49)/(v+7)	$\frac{v^{2} + 14 v + 49}{v + 7}$
11810	Simplify	(v^2+18)/(v^2-6v-27)	$\frac{v^{2} + 18}{v^{2} - 6 v - 27}$
11811	Simplify	( square root of 6)/( square root of 21)	$\frac{\sqrt{6}}{\sqrt{21}}$
11812	Simplify	( square root of 6)/( square root of 5+ square root of 2)	$\frac{\sqrt{6}}{\sqrt{5} + \sqrt{2}}$
11813	Simplify	( square root of 60- square root of 20)/( square root of 5- square root of 15)	$\frac{\sqrt{60} - \sqrt{20}}{\sqrt{5} - \sqrt{15}}$
11814	Simplify	( square root of 60)/( square root of 12)	$\frac{\sqrt{60}}{\sqrt{12}}$
11815	Simplify	( square root of 7z^5)/( square root of 63z^3)	$\frac{\sqrt{7 z^{5}}}{\sqrt{63 z^{3}}}$
11816	Simplify	48/20	$\frac{48}{20}$
11817	Simplify	( square root of 5+ square root of 45)/(3- square root of 20)	$\frac{\sqrt{5} + \sqrt{45}}{3 - \sqrt{20}}$
11818	Simplify	( square root of 55)/( square root of 77)	$\frac{\sqrt{55}}{\sqrt{77}}$
11819	Simplify	( square root of 56yz^3)/( square root of 8y)	$\frac{\sqrt{56 y z^{3}}}{\sqrt{8 y}}$
11820	Simplify	( square root of 56z^5y^6)/( square root of 2y^4)	$\frac{\sqrt{56 z^{5} y^{6}}}{\sqrt{2 y^{4}}}$
11821	Simplify	( square root of 5c)/( square root of 15c^3)	$\frac{\sqrt{5 c}}{\sqrt{15 c^{3}}}$
11822	Simplify	( square root of 3+1)/( square root of 3-1)	$\frac{\sqrt{3} + 1}{\sqrt{3} - 1}$
11823	Simplify	( square root of 3+2)/4	$\frac{\sqrt{3} + 2}{4}$
11824	Simplify	( square root of 3-2 square root of 2)/( square root of 3+2 square root of 2)	$\frac{\sqrt{3} - 2 \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}$
11825	Simplify	( square root of -30)/( square root of 6)	$\frac{\sqrt{- 30}}{\sqrt{6}}$
11826	Simplify	( square root of 30)/15	$\frac{\sqrt{30}}{15}$
11827	Simplify	( square root of 35)/( square root of 63)	$\frac{\sqrt{35}}{\sqrt{63}}$
11828	Simplify	( square root of 36)/2	$\frac{\sqrt{36}}{2}$
11829	Simplify	( square root of 360y^3)/( square root of 8y)	$\frac{\sqrt{360 y^{3}}}{\sqrt{8 y}}$
11830	Simplify	( square root of 4wy^2)/( square root of 6wy^3)	$\frac{\sqrt{4 w y^{2}}}{\sqrt{6 w y^{3}}}$
11831	Simplify	( square root of 4+4^2)/(5(13-10)-2^2-2)	$\frac{\sqrt{4} + 4^{2}}{5 (13 - 10) - 2^{2} - 2}$
11832	Simplify	( square root of 45y^3)/( square root of 5y)	$\frac{\sqrt{45 y^{3}}}{\sqrt{5 y}}$
11833	Simplify	( square root of 45)/( square root of 15)	$\frac{\sqrt{45}}{\sqrt{15}}$
11834	Simplify	( square root of 48)/81	$\frac{\sqrt{48}}{81}$
11835	Simplify	( square root of 5a^-2)/(10a^-1)	$\frac{\sqrt{5 a^{- 2}}}{10 a^{- 1}}$
11836	Simplify	-( square root of 5z^7)/( square root of 2z)	$- \frac{\sqrt{5 z^{7}}}{\sqrt{2 z}}$
11837	Simplify	( square root of 5* square root of 15)/( square root of 3)	$\frac{\sqrt{5} \cdot \sqrt{15}}{\sqrt{3}}$
11838	Simplify	( square root of 5)/( square root of 2+1)	$\frac{\sqrt{5}}{\sqrt{2 + 1}}$
11839	Simplify	( square root of 2a)/( square root of 5a- square root of 3b)	$\frac{\sqrt{2 a}}{\sqrt{5 a} - \sqrt{3 b}}$
11840	Simplify	( square root of 2m square root of 5)/( square root of 20m)	$\frac{\sqrt{2 m} \sqrt{5}}{\sqrt{20 m}}$
11841	Simplify	( square root of 2x+3y+2x-3y)/( square root of 2x+3y-2x-3y)	$\frac{\sqrt{2 x + 3 y + 2 x - 3 y}}{\sqrt{2 x + 3 y - 2 x - 3 y}}$
11842	Simplify	( square root of 2y)/( square root of 5)	$\frac{\sqrt{2 y}}{\sqrt{5}}$
11843	Simplify	( square root of 3vy^2)/(6v^2)	$\frac{\sqrt{3 v y^{2}}}{6 v^{2}}$
11844	Simplify	( square root of 3- square root of 5)/(4-2 square root of 3)	$\frac{\sqrt{3} - \sqrt{5}}{4 - 2 \sqrt{3}}$
11845	Simplify	( square root of 28z^5)/( square root of 63z)	$\frac{\sqrt{28 z^{5}}}{\sqrt{63 z}}$
11846	Simplify	( square root of 28)/( square root of 75)	$\frac{\sqrt{28}}{\sqrt{75}}$
11847	Simplify	(4/(a^2+8a+16))/(7/(a^2-16))	$\frac{\frac{4}{a^{2} + 8 a + 16}}{\frac{7}{a^{2} - 16}}$
11848	Simplify	(4/(b^2+15b+56))/(1/(b^2+15b+56))	$\frac{\frac{4}{b^{2} + 15 b + 56}}{\frac{1}{b^{2} + 15 b + 56}}$
11849	Simplify	(4/(3s+2))/(1+(0.5*4)/(3s+2))	$\frac{\frac{4}{3 s + 2}}{1 + \frac{0.5 \cdot 4}{3 s + 2}}$
11850	Simplify	(4/z-4/5)/(z-5)	$\frac{\frac{4}{z} - \frac{4}{5}}{z - 5}$
11851	Simplify	8/(r^2-9)	$\frac{8}{r^{2} - 9}$
11852	Simplify	8/( square root of 24)	$\frac{8}{\sqrt{24}}$
11853	Simplify	-8/( square root of y+4)	$\frac{- 8}{\sqrt{y} + 4}$
11854	Simplify	8/20*(simplify)	$\frac{8}{20} \cdot (s i m p l i f y)$
11855	Simplify	8/(3+ square root of 3)	$\frac{8}{3 + \sqrt{3}}$
11856	Simplify	8/(5 square root of 8)	$\frac{8}{5 \sqrt{8}}$
11857	Simplify	8/(5+ square root of 7)	$\frac{8}{5 + \sqrt{7}}$
11858	Simplify	8/(7 square root of j^15)	$\frac{8}{7 \sqrt{j^{15}}}$
11859	Simplify	(-4)^(-3/2)	${(- 4)}^{- \frac{3}{2}}$
11860	Simplify	((81b^2-25)/(b^2-1))÷((9b-5)/(b-1))	$\frac{81 b^{2} - 25}{b^{2} - 1} \div \frac{9 b - 5}{b - 1}$
11861	Simplify	(8a)/(2a^2-3a-5)	$\frac{8 a}{2 a^{2} - 3 a - 5}$
11862	Simplify	(8a+24)/(a^2+3a)	$\frac{8 a + 24}{a^{2} + 3 a}$
11863	Simplify	(8c)/(a^(-3/5))	$\frac{8 c}{a^{- \frac{3}{5}}}$
11864	Simplify	((8-k)/(k^2-64))÷((k-8)/(k+8))	$\frac{8 - k}{k^{2} - 64} \div \frac{k - 8}{k + 8}$
11865	Simplify	((8n)/(8n^2-24))÷((18n^2)/(4n-16))	$\frac{8 n}{8 n^{2} - 24} \div \frac{18 n^{2}}{4 n - 16}$
11866	Simplify	(8y+9(-8y)-9)/(7y+3(-7y)-3)	$\frac{8 \cdot y + 9 \cdot (- 8 y) - 9}{7 \cdot y + 3 \cdot (- 7 y) - 3}$
11867	Simplify	(8y+24)/(10y+30)	$\frac{8 y + 24}{10 y + 30}$
11868	Simplify	(9*10^5)/( square root of 3)	$\frac{9 \cdot 10^{5}}{\sqrt{3}}$
11869	Simplify	(9a^2b^3)/(27a^4(b^4c))	$\frac{9 a^{2} \cdot b^{3}}{27 a^{4} \cdot (b^{4} c)}$
11870	Simplify	(9a^2b^3)/(27a^4b^4c)	$\frac{9 a^{2} b^{3}}{27 a^{4} b^{4} c}$
11871	Simplify	(9a^2-4b^2)/( square root of 3a- square root of 2b)	$\frac{9 a^{2} - 4 b^{2}}{\sqrt{3 a} - \sqrt{2 b}}$
11872	Simplify	(9a^2b-16b^3)/(12ab+16b^2)	$\frac{9 a^{2} b - 16 b^{3}}{12 a b + 16 b^{2}}$
11873	Simplify	(9u^5-18u^4)/(3u^2)	$\frac{9 u^{5} - 18 u^{4}}{3 u^{2}}$
11874	Simplify	9( square root of 9)^2	$9 {(\sqrt{9})}^{2}$
11875	Simplify	(9v^2)/(8v+1)	$\frac{9 v^{2}}{8 v + 1}$
11876	Simplify	(9v^6y^3-12u^4y^6)/(3y^5)	$\frac{9 v^{6} y^{3} - 12 u^{4} y^{6}}{3 y^{5}}$
11877	Simplify	((9y^2)/(y^(2+2y+1)))÷((36y)/(y^(2-1)))	$\frac{9 y^{2}}{y^{2 + 2 y + 1}} \div \frac{36 y}{y^{2 - 1}}$
11878	Simplify	9/( square root of 18)	$\frac{9}{\sqrt{18}}$
11879	Simplify	9/( square root of 28)	$\frac{9}{\sqrt{28}}$
11880	Simplify	9/( square root of 9)	$\frac{9}{\sqrt{9}}$
11881	Simplify	-9/( cube root of 49y^2)	$\frac{- 9}{\sqrt[3]{49 y^{2}}}$
11882	Simplify	(-3x^-4y^2z^6)/(-15x^-3y^7z^-2)	$\frac{- 3 x^{- 4} y^{2} z^{6}}{- 15 x^{- 3} y^{7} z^{- 2}}$
11883	Simplify	9/10*(of^50)	$\frac{9}{10} \cdot (o f^{50})$
11884	Simplify	9/15*(simplified)	$\frac{9}{15} \cdot (s i m p l i f i e d)$
11885	Simplify	9/(2 square root of 5-3)	$\frac{9}{2 \sqrt{5 - 3}}$
11886	Simplify	9/(7+ square root of 3)	$\frac{9}{7 + \sqrt{3}}$
11887	Simplify	(9/(7t))÷((t+8)/(7t))	$\frac{9}{7 t} \div \frac{t + 8}{7 t}$
11888	Simplify	9/(v-8)	$\frac{9}{v - 8}$
11889	Simplify	(-9+ square root of -112)/5	$\frac{- 9 + \sqrt{- 112}}{5}$
11890	Simplify	(9+ square root of 2i)/(4-3i)	$\frac{9 + \sqrt{2} i}{4 - 3 i}$
11891	Simplify	(9+7 square root of -9)/2	$\frac{9 + 7 \sqrt{- 9}}{2}$
11892	Simplify	90/( square root of 100)	$\frac{90}{\sqrt{100}}$
11893	Simplify	90/(1+271e^(-0.122*33))	$\frac{90}{1 + 271 e^{- 0.122 \cdot 33}}$
11894	Simplify	(98-2y^2)/(y^2-3y-28)	$\frac{98 - 2 y^{2}}{y^{2} - 3 y - 28}$
11895	Simplify	(98-2y^2)/(7-y)	$\frac{98 - 2 y^{2}}{7 - y}$
11896	Simplify	(99r^(7/8))/(11r^(6/5))	$\frac{99 r^{\frac{7}{8}}}{11 r^{\frac{6}{5}}}$
11897	Simplify	((9a-27)/(35a))÷((5a-15)/(7a^2))	$\frac{9 a - 27}{35 a} \div \frac{5 a - 15}{7 a^{2}}$
11898	Simplify	(9n+36)/(8n^3+32n^2)	$\frac{9 n + 36}{8 n^{3} + 32 n^{2}}$
11899	Simplify	(9-r)/(3- square root of r)	$\frac{9 - r}{3 - \sqrt{r}}$
11900	Simplify	(9y-18)/(8y-16)	$\frac{9 y - 18}{8 y - 16}$