Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8701	Simplify	(5(a+ square root of 2))/(2a- square root of 3)	$\frac{5 (a + \sqrt{2})}{2 a - \sqrt{3}}$
8702	Simplify	(a+5)/(6a-3)	$\frac{a + 5}{6 a - 3}$
8703	Simplify	(1/5-1/y)/(1/y-1/5)	$\frac{\frac{1}{5} - \frac{1}{y}}{\frac{1}{y} - \frac{1}{5}}$
8704	Simplify	(c-5)/(c^(2-25))	$\frac{c - 5}{c^{2 - 25}}$
8705	Simplify	(uv)/((2u^4v^-2)^2*(u^2v^-1))	$\frac{u v}{{(2 u^{4} v^{- 2})}^{2} \cdot (u^{2} v^{- 1})}$
8706	Simplify	4/( cube root of 9y^4)	$\frac{4}{\sqrt[3]{9 y^{4}}}$
8707	Simplify	((6a^2b^2)/(8c))÷3ab	$\frac{6 a^{2} b^{2}}{8 c} \div 3 a b$
8708	Simplify	((3m-6n)/(5n))/((m^2-4n^2)/(10mn))	$\frac{\frac{3 m - 6 n}{5 n}}{\frac{m^{2} - 4 n^{2}}{10 m n}}$
8709	Simplify	( square root of 80)/5	$\frac{\sqrt{80}}{5}$
8710	Simplify	(v^2+4)/(v+2)	$\frac{v^{2} + 4}{v + 2}$
8711	Simplify	1/(10 square root of 10)	$\frac{1}{10 \sqrt{10}}$
8712	Simplify	15/(48 square root of 5/6)	$\frac{15}{48 \sqrt{\frac{5}{6}}}$
8713	Simplify	(2-1/k)/(1+1/k)	$\frac{2 - \frac{1}{k}}{1 + \frac{1}{k}}$
8714	Simplify	(2 square root of 3n)/(2 square root of 5n^3)	$\frac{2 \sqrt{3 n}}{2 \sqrt{5 n^{3}}}$
8715	Simplify	(20p^9+15p^5)/(5p)	$\frac{20 p^{9} + 15 p^{5}}{5 p}$
8716	Simplify	(3(2^n)-4*2^(n-2))/(2^n-2^(n-1))	$\frac{3 (2^{n}) - 4 \cdot 2^{n - 2}}{2^{n} - 2^{n - 1}}$
8717	Simplify	(y^2-2y-35)/(y^2+14y+45)	$\frac{y^{2} - 2 y - 35}{y^{2} + 14 y + 45}$
8718	Simplify	(144 square root of 3204)/32	$\frac{144 \sqrt{3204}}{32}$
8719	Simplify	(2m+6)/(3m^2+11m+6)	$\frac{2 m + 6}{3 m^{2} + 11 m + 6}$
8720	Simplify	(32m^5p^2)/(2m^10p)	$\frac{32 m^{5} p^{2}}{2 m^{10} p}$
8721	Simplify	(13k^2-32k-36)÷(k-3)	$(13 k^{2} - 32 k - 36) \div (k - 3)$
8722	Simplify	( square root of 7+9)( square root of 7-9)	$(\sqrt{7} + 9) (\sqrt{7} - 9)$
8723	Multiply	9000.064	$900 \cdot 0.06 \cdot 4$
8724	Multiply	8 1/3*7	$8 \frac{1}{3} \cdot 7$
8725	Multiply	8 1/3*3/5	$8 \frac{1}{3} \cdot \frac{3}{5}$
8726	Multiply	7i*(3i(-8-6i))	$7 i \cdot (3 i (- 8 - 6 i))$
8727	Multiply	72*9 5/63	$72 \cdot 9 \frac{5}{63}$
8728	Multiply	76 1/3*75	$76 \frac{1}{3} \cdot 75$
8729	Multiply	6 1/6*3	$6 \frac{1}{6} \cdot 3$
8730	Multiply	(63.73%*100)÷14.81	$63.73 % \cdot 100 \div 14.81$
8731	Simplify	(31y^4z^7-28y^7z^7)÷(-4y^5z^4)	$(31 y^{4} z^{7} - 28 y^{7} z^{7}) \div (- 4 y^{5} z^{4})$
8732	Simplify	(7+ square root of 6)(2- square root of 6)	$(7 + \sqrt{6}) (2 - \sqrt{6})$
8733	Simplify	( square root of y- square root of 2)^2	${(\sqrt{y} - \sqrt{2})}^{2}$
8734	Simplify	((2n^(1/3))(3n^(1/3)-4n^(4/3)))/(2n^(-1/3))	$\frac{(2 n^{\frac{1}{3}}) (3 n^{\frac{1}{3}} - 4 n^{\frac{4}{3}})}{2 n^{- \frac{1}{3}}}$
8735	Simplify	(z^(3-1))/(z^-1)	$\frac{z^{3 - 1}}{z^{- 1}}$
8736	Simplify	( square root of 5-2)( square root of 5+2)	$(\sqrt{5} - 2) (\sqrt{5} + 2)$
8737	Simplify	(2- square root of 5)(2+ square root of 5)	$(2 - \sqrt{5}) (2 + \sqrt{5})$
8738	Simplify	((1/3)/(1/y))/((3-y)/3)	$\frac{\frac{\frac{1}{3}}{\frac{1}{y}}}{\frac{3 - y}{3}}$
8739	Simplify	(4^(n+1)-4^(n-1))/(4^n)	$\frac{4^{n + 1} - 4^{n - 1}}{4^{n}}$
8740	Simplify	(1/6(c^(-5/6)f^(5/6)))/(5/6(c^(1/6-1)f^(-1/6)))	$\frac{\frac{1}{6} \cdot (c^{- \frac{5}{6}} f^{\frac{5}{6}})}{\frac{5}{6} \cdot (c^{\frac{1}{6} - 1} f^{- \frac{1}{6}})}$
8741	Simplify	(27^(n+3)9^(n+4))/(3^(n+1)81^(n+2))	$\frac{27^{n + 3} \cdot 9^{n + 4}}{3^{n + 1} \cdot 81^{n + 2}}$
8742	Simplify	( square root of 6y)( fourth root of 36y^2)	$(\sqrt{6 y}) (\sqrt[4]{36 y^{2}})$
8743	Simplify	( square root of j- square root of 5)^2	${(\sqrt{j} - \sqrt{5})}^{2}$
8744	Simplify	(-3^(3n+2)-27^(n-3))/(-9^(-3n-2))	$\frac{- 3^{3 n + 2} - 27^{n - 3}}{- 9^{- 3 n - 2}}$
8745	Simplify	(b^2-a^2)/(2a^2-2b^2)	$\frac{b^{2} - a^{2}}{2 a^{2} - 2 b^{2}}$
8746	Simplify	( square root of c^5)/(d^9)	$\frac{\sqrt{c^{5}}}{d^{9}}$
8747	Simplify	square root of -8i	$\sqrt{- 8 i}$
8748	Simplify	square root of 761	$\sqrt{761}$
8749	Simplify	square root of 64w^9	$\sqrt{64 w^{9}}$
8750	Simplify	square root of 8u^2w^3 square root of 2u^2w^4	$\sqrt{8 u^{2} w^{3}} \sqrt{2 u^{2} w^{4}}$
8751	Simplify	square root of 75a^2b^3	$\sqrt{75 a^{2}} b^{3}$
8752	Simplify	cube root of 8^5	$\sqrt[3]{8^{5}}$
8753	Simplify	square root of 2w^6 square root of 2w	$\sqrt{2 w^{6}} \sqrt{2 w}$
8754	Simplify	square root of 25y^7	$\sqrt{25 y^{7}}$
8755	Simplify	square root of 25v^11	$\sqrt{25 v^{11}}$
8756	Simplify	square root of 249	$\sqrt{249}$
8757	Simplify	square root of 20x^4u^5 square root of 5x^3u^9	$\sqrt{20 x^{4} u^{5}} \sqrt{5 x^{3} u^{9}}$
8758	Simplify	square root of 4900	$\sqrt{4900}$
8759	Simplify	square root of 50v^14	$\sqrt{50 v^{14}}$
8760	Simplify	square root of 5( square root of 10+3 square root of 5)	$\sqrt{5} (\sqrt{10} + 3 \sqrt{5})$
8761	Simplify	square root of 5( square root of 15+ square root of 5)	$\sqrt{5} (\sqrt{15} + \sqrt{5})$
8762	Simplify	square root of 36z^10	$\sqrt{36 z^{10}}$
8763	Simplify	square root of 16w^5	$\sqrt{16 w^{5}}$
8764	Simplify	square root of 468	$\sqrt{468}$
8765	Simplify	square root of 1369	$\sqrt{1369}$
8766	Simplify	square root of 388	$\sqrt{388}$
8767	Simplify	square root of 11x^6y^15	$\sqrt{11 x^{6} y^{15}}$
8768	Simplify	square root of j^5	$\sqrt{j^{5}}$
8769	Simplify	( square root of 34/21)÷( cube root of 9/14)	$\sqrt{\frac{34}{21}} \div \sqrt[3]{\frac{9}{14}}$
8770	Simplify	square root of 100x^6	$\sqrt{100 x^{6}}$
8771	Simplify	square root of x/45	$\sqrt{\frac{x}{45}}$
8772	Simplify	square root of 1.6	$\sqrt{1.6}$
8773	Simplify	square root of (81x^5)/(y^6)	$\sqrt{\frac{81 x^{5}}{y^{6}}}$
8774	Simplify	square root of 7/64	$\sqrt{\frac{7}{64}}$
8775	Simplify	square root of -136	$\sqrt{- 136}$
8776	Simplify	square root of 14/9	$\sqrt{\frac{14}{9}}$
8777	Simplify	seventh root of x^7	$\sqrt[7]{x^{7}}$
8778	Simplify	fourth root of w^11	$\sqrt[4]{w^{11}}$
8779	Simplify	fourth root of a^20b^13	$\sqrt[4]{a^{20} b^{13}}$
8780	Simplify	cube root of 3t( cube root of 9t- cube root of t^2)	$\sqrt[3]{3 t} (\sqrt[3]{9 t} - \sqrt[3]{t^{2}})$
8781	Simplify	fourth root of 16x^4	$\sqrt[4]{16 x^{4}}$
8782	Simplify	fourth root of 81/16	$\sqrt[4]{\frac{81}{16}}$
8783	Simplify	fifth root of -1024a^30b^31	$\sqrt[5]{- 1024 a^{30} b^{31}}$
8784	Simplify	4 cube root of 81	$4 \sqrt[3]{81}$
8785	Factor	(4/15)(10/8)	$(\frac{4}{15}) (\frac{10}{8})$
8786	Factor	(-187)+904	$(- 187) + 904$
8787	Simplify	cube root of x^3y^16z^2	$\sqrt[3]{x^{3} y^{16} z^{2}}$
8788	Write in Standard Form	5/(3+4i)	$\frac{5}{3 + 4 i}$
8789	Simplify	81 cube root of 375/729	$81 \sqrt[3]{\frac{375}{729}}$
8790	Write in Standard Form	(-10-5i)/(-6+6i)	$\frac{- 10 - 5 i}{- 6 + 6 i}$
8791	Write in Standard Form	(4-2i)/(3i)	$\frac{4 - 2 i}{3 i}$
8792	Factor	p^2q^2-5pq-18	$p^{2} q^{2} - 5 p q - 18$
8793	Factor	p^2+13p+12	$p^{2} + 13 p + 12$
8794	Factor	r^2+7r-18	$r^{2} + 7 r - 18$
8795	Factor	r^2-7r+10	$r^{2} - 7 r + 10$
8796	Factor	square root of 8ab- square root of 50abc^2+ square root of 18ab^3	$\sqrt{8 a b} - \sqrt{50 a b c^{2}} + \sqrt{18 a b^{3}}$
8797	Factor	-z^2+42z+49	$- z^{2} + 42 z + 49$
8798	Factor	y^3+5y^2-4y-20	$y^{3} + 5 y^{2} - 4 y - 20$
8799	Factor	z^2+7z-8	$z^{2} + 7 z - 8$
8800	Factor	z^2-15z+60	$z^{2} - 15 z + 60$