Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12101	Simplify	v(0.02210^6-0.004210^6i)	$v (0.022 \cdot 10^{6} - 0.0042 \cdot (10^{6} i))$
12102	Simplify	v(16m^7)	$v (16 m^{7})$
12103	Simplify	v(5)( square root of 5+y square root of 10)	$v (5) (\sqrt{5} + y \sqrt{10})$
12104	Simplify	square root of 45/(7y)	$\sqrt{\frac{45}{7 y}}$
12105	Simplify	square root of (120ft)^2+(30ft)^2	$\sqrt{{(120 ft)}^{2} + {(30 ft)}^{2}}$
12106	Simplify	square root of ((3000*4)/300)/p	$\sqrt{\frac{\frac{3000 \cdot 4}{300}}{p}}$
12107	Simplify	square root of (2/3-4/3)(5/4-3/4)	$\sqrt{(\frac{2}{3} - \frac{4}{3}) (\frac{5}{4} - \frac{3}{4})}$
12108	Simplify	square root of (5/8-9/16)÷(1+9/16)	$\sqrt{(\frac{5}{8} - \frac{9}{16}) \div (1 + \frac{9}{16})}$
12109	Simplify	square root of b^3	$\sqrt{b^{3}}$
12110	Simplify	square root of (z^2-2zy+y^2)(z+y)^2	$\sqrt{(z^{2} - 2 z y + y^{2}) {(z + y)}^{2}}$
12111	Simplify	square root of 1-(7/64+6/8)	$\sqrt{1 - (\frac{7}{64} + \frac{6}{8})}$
12112	Simplify	square root of 1212+1616	$\sqrt{12 \cdot 12 + 16 \cdot 16}$
12113	Simplify	square root of (2(4)(6))+6	$\sqrt{(2 (4) (6)) + 6}$
12114	Simplify	square root of 210(210-100)(210-90)*(210-130)	$\sqrt{210 \cdot (210 - 100) \cdot (210 - 90) \cdot (210 - 130)}$
12115	Simplify	square root of 306	$\sqrt{306}$
12116	Simplify	square root of (60)(0.07)(1-0.07)	$\sqrt{(60) (0.07) (1 - 0.07)}$
12117	Simplify	square root of (8c-8)+4	$\sqrt{(8 c - 8) + 4}$
12118	Simplify	- square root of 0.0009	$- \sqrt{0.0009}$
12119	Simplify	square root of 0.625	$\sqrt{0.625}$
12120	Simplify	square root of 36m^2n^2	$\sqrt{36 m^{2}} n^{2}$
12121	Simplify	square root of (12-(-2))^2+(-8-10)^2	$\sqrt{{(12 - (- 2))}^{2} + {(- 8 - 10)}^{2}}$
12122	Simplify	square root of (-144)^2-416288	$\sqrt{{(- 144)}^{2} - 4 \cdot 16 \cdot 288}$
12123	Simplify	square root of (-19)^2	$\sqrt{{(- 19)}^{2}}$
12124	Simplify	fourth root of 9b^6	$\sqrt[4]{9 b^{6}}$
12125	Simplify	square root of (51200.006)^2+(51200.006)^2	$\sqrt{{(5120 \cdot 0.006)}^{2} + {(5120 \cdot 0.006)}^{2}}$
12126	Simplify	square root of (-5+4)^2+(9-5)^2	$\sqrt{{(- 5 + 4)}^{2} + {(9 - 5)}^{2}}$
12127	Simplify	square root of (-5y)^2+(-5y)^2-5y	$\sqrt{{(- 5 y)}^{2} + {(- 5 y)}^{2} - 5 y}$
12128	Simplify	square root of (-6.8-8.5)^2+(7.1+3.6)^2	$\sqrt{{(- 6.8 - 8.5)}^{2} + {(7.1 + 3.6)}^{2}}$
12129	Simplify	square root of (a-8)^2	$\sqrt{{(a - 8)}^{2}}$
12130	Simplify	square root of (ab)^2	$\sqrt{{(a b)}^{2}}$
12131	Simplify	square root of (c-2)^2	$\sqrt{{(c - 2)}^{2}}$
12132	Simplify	square root of (-q)^2	$\sqrt{{(- q)}^{2}}$
12133	Simplify	square root of 144p^6q^8r^10	$\sqrt{144 p^{6} q^{8} r^{10}}$
12134	Simplify	square root of (1/8)/(( square root of 4)/1)	$\sqrt{\frac{\frac{1}{8}}{\frac{\sqrt{4}}{1}}}$
12135	Simplify	square root of (20a^2)/81	$\sqrt{\frac{20 a^{2}}{81}}$
12136	Simplify	square root of (3^(n-1)+1)/(3^(1-n)+1)	$\sqrt{\frac{3^{n - 1} + 1}{3^{1 - n} + 1}}$
12137	Simplify	square root of (a^5)/45	$\sqrt{\frac{a^{5}}{45}}$
12138	Simplify	square root of (abc^-2)/(8b^2c)	$\sqrt{\frac{a b c^{- 2}}{8 b^{2} c}}$
12139	Simplify	square root of (b^4)/(25a^8)	$\sqrt{\frac{b^{4}}{25 a^{8}}}$
12140	Simplify	square root of (g^3)/(7g)	$\sqrt{\frac{g^{3}}{7 g}}$
12141	Simplify	square root of (p^12)/64	$\sqrt{\frac{p^{12}}{64}}$
12142	Simplify	square root of (r^4)/25	$\sqrt{\frac{r^{4}}{25}}$
12143	Simplify	square root of (r^6)/25	$\sqrt{\frac{r^{6}}{25}}$
12144	Simplify	square root of (s^2+1)/(s^2+4)	$\sqrt{\frac{s^{2} + 1}{s^{2} + 4}}$
12145	Simplify	arccos(2/(( square root of 9)( square root of 38)))	$\arccos (\frac{2}{(\sqrt{9}) (\sqrt{38})})$
12146	Simplify	(ctgL+tgL)/(ctgL-tgL)	$\frac{c t g L + t g L}{c t g L - t g L}$
12147	Simplify	(d-3)/(4-d)	$\frac{d - 3}{4 - d}$
12148	Simplify	(f(10)-f*1)/9	$\frac{f (10) - f \cdot 1}{9}$
12149	Simplify	(f(2)-f*0)/(2-0)	$\frac{f (2) - f \cdot 0}{2 - 0}$
12150	Simplify	(f(2.1)-f*2)/0.1	$\frac{f (2.1) - f \cdot 2}{0.1}$
12151	Simplify	(8y^6-10y^4)/(2y)	$\frac{8 y^{6} - 10 y^{4}}{2 y}$
12152	Simplify	(8y^7)/(2y^4)	$\frac{8 y^{7}}{2 y^{4}}$
12153	Simplify	8/(9/6s)	$\frac{8}{\frac{9}{6} s}$
12154	Simplify	15/(25m^2-10m^2)	$\frac{15}{25 m^{2} - 10 m^{2}}$
12155	Simplify	15/42*(simplify)	$\frac{15}{42} \cdot (s i m p l i f y)$
12156	Simplify	(a-2b)/4	$\frac{a - 2 b}{4}$
12157	Simplify	(a-3b)/(15a^2+45ab)	$\frac{a - 3 b}{15 a^{2} + 45 a b}$
12158	Simplify	(ab)/(a^2b-ab^2)	$\frac{a b}{a^{2} b - a b^{2}}$
12159	Simplify	(ab+3a-6b-18)/(b^2-9)	$\frac{a b + 3 a - 6 b - 18}{b^{2} - 9}$
12160	Simplify	(a*(a square root of 2))/(a square root of 3)	$\frac{a \cdot (a \sqrt{2})}{a \sqrt{3}}$
12161	Simplify	(b+ square root of by)/( square root of b+ square root of y)	$\frac{b + \sqrt{b} y}{\sqrt{b} + \sqrt{y}}$
12162	Simplify	((b+2)/(b-1))÷((b+4)/(b^2+4b-5))	$\frac{b + 2}{b - 1} \div \frac{b + 4}{b^{2} + 4 b - 5}$
12163	Simplify	(b+7)/(b^2+8b+7)	$\frac{b + 7}{b^{2} + 8 b + 7}$
12164	Simplify	((b+7)/(b-1))÷((b-8)/(b+5))	$\frac{b + 7}{b - 1} \div \frac{b - 8}{b + 5}$
12165	Simplify	(b-4)/6	$\frac{b - 4}{6}$
12166	Simplify	(b-5)/(2b-10)	$\frac{b - 5}{2 b - 10}$
12167	Simplify	(c/(c-k))÷(d/(k-c))	$\frac{c}{c - k} \div \frac{d}{k - c}$
12168	Simplify	((c+3)/(c^2+4c-32))÷((2c^2+6c)/(2c^2-7c-4))	$\frac{c + 3}{c^{2} + 4 c - 32} \div \frac{2 c^{2} + 6 c}{2 c^{2} - 7 c - 4}$
12169	Simplify	(c-5)/(c^2+3c-40)	$\frac{c - 5}{c^{2} + 3 c - 40}$
12170	Simplify	(5a^2-8a)/(25a-40)	$\frac{5 a^{2} - 8 a}{25 a - 40}$
12171	Simplify	((5a^3b^3)/(49a^2b))÷((25a^4b)/(105a^6b^3))	$\frac{5 a^{3} b^{3}}{49 a^{2} b} \div \frac{25 a^{4} b}{105 a^{6} b^{3}}$
12172	Simplify	((5a^4b^2)/(16a^2b))÷((25a^2b)/(60a^3b^2))	$\frac{5 a^{4} b^{2}}{16 a^{2} b} \div \frac{25 a^{2} b}{60 a^{3} b^{2}}$
12173	Simplify	(5b^4)/(14a^5)	$\frac{5 b^{4}}{14 a^{5}}$
12174	Simplify	((5b^4)/(6a^4b))÷(b/(4a^3))	$\frac{5 b^{4}}{6 a^{4} b} \div \frac{b}{4 a^{3}}$
12175	Simplify	(5pi^2-5pi)/(2pi-2)	$\frac{5 π^{2} - 5 π}{2 π - 2}$
12176	Simplify	(5 square root of 2)/(4 square root of 18)	$\frac{5 \sqrt{2}}{4 \sqrt{18}}$
12177	Simplify	(5 square root of 3-2)/( square root of 3+1)	$\frac{5 \sqrt{3} - 2}{\sqrt{3} + 1}$
12178	Simplify	(3z+12y)/(6y)	$\frac{3 z + 12 y}{6 y}$
12179	Simplify	(4(3-v)(2v)-(v^2(-4)))/(4(3-v)^2)	$\frac{4 (3 - v) (2 v) - (v^{2} (- 4))}{4 {(3 - v)}^{2}}$
12180	Simplify	4.33/(2.17+ square root of 2.94)	$\frac{4.33}{2.17 + \sqrt{2.94}}$
12181	Simplify	(4(a^2b)^3*(3a^-5b^-2))/(6ab)	$\frac{4 {(a^{2} b)}^{3} \cdot (3 a^{- 5} b^{- 2})}{6 a b}$
12182	Simplify	(4a^2c^2-9a^2)/(8a^2c^2-18a^2)	$\frac{4 a^{2} c^{2} - 9 a^{2}}{8 a^{2} c^{2} - 18 a^{2}}$
12183	Simplify	(-4a^2b+8a^3b^2-12a^3b)/(-4a^2b)	$\frac{- 4 a^{2} b + 8 a^{3} b^{2} - 12 a^{3} b}{- 4 a^{2} b}$
12184	Simplify	(4a^3-(4(a+h)^3))/h	$\frac{4 a^{3} - (4 {(a + h)}^{3})}{h}$
12185	Simplify	(4a^4+5a^3-16a^2-5a+20)/(a^2-2)	$\frac{4 a^{4} + 5 a^{3} - 16 a^{2} - 5 a + 20}{a^{2} - 2}$
12186	Simplify	(4b^2-a^2)/(2b-a)	$\frac{4 b^{2} - a^{2}}{2 b - a}$
12187	Simplify	(4m^2+11m-3)/(3m^2+4m-15)	$\frac{4 m^{2} + 11 m - 3}{3 m^{2} + 4 m - 15}$
12188	Simplify	(4m^2-8mn)/(4mn)	$\frac{4 m^{2} - 8 m n}{4 m n}$
12189	Simplify	(4t^2+16t+16)/(16t^2-16t-96)	$\frac{4 t^{2} + 16 t + 16}{16 t^{2} - 16 t - 96}$
12190	Simplify	(4t^3-t^2+4t-1)/(4t-1)	$\frac{4 t^{3} - t^{2} + 4 t - 1}{4 t - 1}$
12191	Simplify	(-4- square root of -18)/2	$\frac{- 4 - \sqrt{- 18}}{2}$
12192	Simplify	(4 square root of 225y^3)/(7 square root of 3y^-1)	$\frac{4 \sqrt{225 y^{3}}}{7 \sqrt{3 y^{- 1}}}$
12193	Simplify	(4 square root of 3)/( square root of 12)	$\frac{4 \sqrt{3}}{\sqrt{12}}$
12194	Simplify	(4 square root of 3)/( square root of 8)	$\frac{4 \sqrt{3}}{\sqrt{8}}$
12195	Simplify	(4- square root of -48)/2	$\frac{4 - \sqrt{- 48}}{2}$
12196	Simplify	(4v^3*( square root of u)^2)/1	$\frac{4 v^{3} \cdot {(\sqrt{u})}^{2}}{1}$
12197	Simplify	(4y^2+14y-30)/(y+5)	$\frac{4 y^{2} + 14 y - 30}{y + 5}$
12198	Simplify	((4y^2+8y-252)/(y^2-9y+14))÷((5y^2+48y+27)/(15y^2-21y-18))	$\frac{4 y^{2} + 8 y - 252}{y^{2} - 9 y + 14} \div \frac{5 y^{2} + 48 y + 27}{15 y^{2} - 21 y - 18}$
12199	Simplify	((4y^2-25)/10)÷((18y-45)/18)	$\frac{4 y^{2} - 25}{10} \div \frac{18 y - 45}{18}$
12200	Simplify	(4y^3z^7)/(y^5z)	$\frac{4 y^{3} z^{7}}{y^{5} z}$