Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47201	Evaluate	5/(2 square root of 66)	$\frac{5}{2 \sqrt{66}}$
47202	Evaluate	5/(-5-5 square root of 3)	$\frac{5}{- 5 - 5 \sqrt{3}}$
47203	Evaluate	-5/(6+ square root of 11)	$\frac{- 5}{6 + \sqrt{11}}$
47204	Evaluate	53/( square root of 82 square root of 89)	$\frac{53}{\sqrt{82} \sqrt{89}}$
47205	Evaluate	-53/(7 square root of 53)	$- \frac{53}{7 \sqrt{53}}$
47206	Evaluate	(550+45 square root of 2)/(45 square root of 2)	$\frac{550 + 45 \sqrt{2}}{45 \sqrt{2}}$
47207	Evaluate	(5+ square root of 13)/(4- square root of 13)	$\frac{5 + \sqrt{13}}{4 - \sqrt{13}}$
47208	Evaluate	(5+ square root of 217)/12	$\frac{5 + \sqrt{217}}{12}$
47209	Evaluate	(5+ square root of 24)/(-( square root of 24)/5)	$\frac{5 + \sqrt{24}}{- \frac{\sqrt{24}}{5}}$
47210	Evaluate	(-5+ square root of -50)/10	$\frac{- 5 + \sqrt{- 50}}{10}$
47211	Evaluate	-5/( square root of 41)	$\frac{- 5}{\sqrt{41}}$
47212	Evaluate	-5/( square root of 39)	$- \frac{5}{\sqrt{39}}$
47213	Evaluate	(5 square root of 2+ square root of 10)/(10 square root of 2- square root of 10)	$\frac{5 \sqrt{2} + \sqrt{10}}{10 \sqrt{2} - \sqrt{10}}$
47214	Evaluate	(5 square root of 2-15)/5	$\frac{5 \sqrt{2} - 15}{5}$
47215	Evaluate	(5 square root of 2-3 square root of 5)/( square root of 2+5 square root of 3)	$\frac{5 \sqrt{2} - 3 \sqrt{5}}{\sqrt{2} + 5 \sqrt{3}}$
47216	Evaluate	5/( square root of 63)	$\frac{5}{\sqrt{63}}$
47217	Evaluate	(5 square root of 2)/(-5 square root of 2)	$\frac{5 \sqrt{2}}{- 5 \sqrt{2}}$
47218	Evaluate	-4/( square root of 52)	$\frac{- 4}{\sqrt{52}}$
47219	Evaluate	5/( square root of 10+ square root of 5)	$\frac{5}{\sqrt{10} + \sqrt{5}}$
47220	Evaluate	5/( square root of 106)	$\frac{5}{\sqrt{106}}$
47221	Evaluate	5/( square root of 119)	$\frac{5}{\sqrt{119}}$
47222	Evaluate	5/( square root of -119)	$\frac{5}{\sqrt{- 119}}$
47223	Evaluate	5/( square root of 14-2)	$\frac{5}{\sqrt{14} - 2}$
47224	Evaluate	5/( square root of -16)	$\frac{5}{\sqrt{- 16}}$
47225	Evaluate	5/( square root of 26)	$\frac{5}{\sqrt{26}}$
47226	Evaluate	-5/( square root of 26)	$- \frac{5}{\sqrt{26}}$
47227	Evaluate	(5 square root of 28)/28	$\frac{5 \sqrt{28}}{28}$
47228	Evaluate	(5 square root of 28-10 square root of 35)/(5 square root of 7)	$\frac{5 \sqrt{28} - 10 \sqrt{35}}{5 \sqrt{7}}$
47229	Evaluate	-(5 square root of 29)/(2 square root of 29)	$- \frac{5 \sqrt{29}}{2 \sqrt{29}}$
47230	Evaluate	(5 square root of 3)/( square root of 10)	$\frac{5 \sqrt{3}}{\sqrt{10}}$
47231	Evaluate	(5 square root of 3)/10	$\frac{5 \sqrt{3}}{10}$
47232	Evaluate	(5 square root of 3)/(2 square root of 10)	$\frac{5 \sqrt{3}}{2 \sqrt{10}}$
47233	Evaluate	(5- square root of 3)/(8- square root of 2)	$\frac{5 - \sqrt{3}}{8 - \sqrt{2}}$
47234	Evaluate	(5 square root of 30)/10	$\frac{5 \sqrt{30}}{10}$
47235	Evaluate	(5 square root of 34)/306	$\frac{5 \sqrt{34}}{306}$
47236	Evaluate	(5 square root of 5)/( square root of 90)	$\frac{5 \sqrt{5}}{\sqrt{90}}$
47237	Evaluate	(5 square root of 5)/(15 square root of 2)	$\frac{5 \sqrt{5}}{15 \sqrt{2}}$
47238	Evaluate	(5 square root of 5)/(6 square root of 28)	$\frac{5 \sqrt{5}}{6 \sqrt{28}}$
47239	Evaluate	(5 square root of 6)/(10 square root of 2)	$\frac{5 \sqrt{6}}{10 \sqrt{2}}$
47240	Evaluate	-(5 square root of 6+21 square root of 10)/80	$- \frac{5 \sqrt{6} + 21 \sqrt{10}}{80}$
47241	Evaluate	(5- square root of 7)/(9-9 square root of 2)	$\frac{5 - \sqrt{7}}{9 - 9 \sqrt{2}}$
47242	Evaluate	5/((( square root of 3)/2)^2)	$\frac{5}{{(\frac{\sqrt{3}}{2})}^{2}}$
47243	Evaluate	5/(6/(( square root of 11)/6))	$\frac{5}{\frac{6}{\frac{\sqrt{11}}{6}}}$
47244	Evaluate	v((1-1/( square root of 82))/2)	$v (\frac{1 - \frac{1}{\sqrt{82}}}{2})$
47245	Evaluate	-v(1-12/13)/2	$- v \frac{1 - \frac{12}{13}}{2}$
47246	Evaluate	v((1-15/300)/2)	$v (\frac{1 - \frac{15}{300}}{2})$
47247	Evaluate	v((1-2/13)/2)	$v (\frac{1 - \frac{2}{13}}{2})$
47248	Evaluate	v((1-4/5)/2)	$v (\frac{1 - \frac{4}{5}}{2})$
47249	Evaluate	v((1-49/81)/2)	$v (\frac{1 - \frac{49}{81}}{2})$
47250	Evaluate	v(1-1/3)/2	$v \frac{1 - \frac{1}{3}}{2}$
47251	Evaluate	v(1-119/169)/2	$v \frac{1 - \frac{119}{169}}{2}$
47252	Evaluate	v(1+21/29)/2	$v \frac{1 + \frac{21}{29}}{2}$
47253	Evaluate	v(1-3/( square root of 13))/2	$v \frac{1 - \frac{3}{\sqrt{13}}}{2}$
47254	Evaluate	v(1-5/13)/2	$v \frac{1 - \frac{5}{13}}{2}$
47255	Evaluate	v(1+6/10)/2	$v \frac{1 + \frac{6}{10}}{2}$
47256	Evaluate	v((1+( square root of 2)/2)/(1-( square root of 2)/2))	$v (\frac{1 + \frac{\sqrt{2}}{2}}{1 - \frac{\sqrt{2}}{2}})$
47257	Evaluate	-v(1+( square root of -5)/3)/2	$- v \frac{1 + \frac{\sqrt{- 5}}{3}}{2}$
47258	Evaluate	v((1+(11 square root of 122)/122)/2)	$v (\frac{1 + \frac{11 \sqrt{122}}{122}}{2})$
47259	Evaluate	-v(1+21/29)/(1-21/29)	$- v \frac{1 + \frac{21}{29}}{1 - \frac{21}{29}}$
47260	Evaluate	v((1+49/81)/2)	$v (\frac{1 + \frac{49}{81}}{2})$
47261	Evaluate	v((-1-0)^2+(-3-0)^2)	$v ({(- 1 - 0)}^{2} + {(- 3 - 0)}^{2})$
47262	Evaluate	v((10)^2+10^2)	$v ({(10)}^{2} + 10^{2})$
47263	Evaluate	v((12)^2+(4 square root of 3)^2)	$v ({(12)}^{2} + {(4 \sqrt{3})}^{2})$
47264	Evaluate	v((14.33)^2+(6.73)^2)	$v ({(14.33)}^{2} + {(6.73)}^{2})$
47265	Evaluate	v((-1429.2143)^2+(-616.8368)^2)	$v ({(- 1429.2143)}^{2} + {(- 616.8368)}^{2})$
47266	Evaluate	v((-1457.2504)^2+(-370.2033)^2)	$v ({(- 1457.2504)}^{2} + {(- 370.2033)}^{2})$
47267	Evaluate	v((-15)^2+8^2)	$v ({(- 15)}^{2} + 8^{2})$
47268	Evaluate	v((15.8498)^2+(7.25)^2)	$v ({(15.8498)}^{2} + {(7.25)}^{2})$
47269	Evaluate	v((2-(-2))^2+(5-(-3))^2)	$v ({(2 - (- 2))}^{2} + {(5 - (- 3))}^{2})$
47270	Evaluate	v((-2)^2+(-2 square root of 3)^2)	$v ({(- 2)}^{2} + {(- 2 \sqrt{3})}^{2})$
47271	Evaluate	(9+3 square root of 17)/12	$\frac{9 + 3 \sqrt{17}}{12}$
47272	Evaluate	90/( square root of 30)	$\frac{90}{\sqrt{30}}$
47273	Evaluate	(9-3 square root of 3)/(9+3 square root of 3)	$\frac{9 - 3 \sqrt{3}}{9 + 3 \sqrt{3}}$
47274	Evaluate	(-9-4 square root of 55)/(12-3 square root of 55)	$\frac{- 9 - 4 \sqrt{55}}{12 - 3 \sqrt{55}}$
47275	Evaluate	97/(98/(-( square root of 195)/98))	$\frac{97}{\frac{98}{- \frac{\sqrt{195}}{98}}}$
47276	Evaluate	(98 square root of 3)/196	$\frac{98 \sqrt{3}}{196}$
47277	Evaluate	cos(10)=1/( square root of 2)	$\cos (10) = \frac{1}{\sqrt{2}}$
47278	Evaluate	cos(8x)^2-sin(8x)^2=cos(B)	$\cos^{2} (8 x) - \sin^{2} (8 x) = \cos (B)$
47279	Evaluate	v(((-1/5)^2)+(1/2)^2)	$v (({(- \frac{1}{5})}^{2}) + {(\frac{1}{2})}^{2})$
47280	Evaluate	v(( square root of 2-3 square root of 2)^2+(- square root of 5-4 square root of 5)^2)	$v ({(\sqrt{2} - 3 \sqrt{2})}^{2} + {(- \sqrt{5} - 4 \sqrt{5})}^{2})$
47281	Evaluate	v((1+(2 square root of 3)/3)/2)*1	$v (\frac{1 + \frac{2 \sqrt{3}}{3}}{2}) \cdot 1$
47282	Evaluate	v((15)^2+(36)^2)	$v ({(15)}^{2} + {(36)}^{2})$
47283	Evaluate	v((17^2)-((4 square root of 17)^2))	$v ((17^{2}) - ({(4 \sqrt{17})}^{2}))$
47284	Evaluate	v((3/10*4)-(3/10))(3/10)	$v ((\frac{3}{10} \cdot 4) - (\frac{3}{10})) (\frac{3}{10})$
47285	Evaluate	v(804^2-340^2)	$v (804^{2} - 340^{2})$
47286	Evaluate	v(0.58)(0.42)	$v (0.58) (0.42)$
47287	Evaluate	v((17.165)(17.165-9.21)(17.165-9.76)(17.165-15.36))	$v ((17.165) (17.165 - 9.21) (17.165 - 9.76) (17.165 - 15.36))$
47288	Evaluate	v((30.5)(30.5-17)(30.5-20)(30.5-24))	$v ((30.5) (30.5 - 17) (30.5 - 20) (30.5 - 24))$
47289	Evaluate	v(61-60 square root of 2)	$v (61 - 60 \sqrt{2})$
47290	Evaluate	v((0.03)^2(0.04)^2)	$v ({(0.03)}^{2} {(0.04)}^{2})$
47291	Evaluate	v((0.03)^2+(0.04)^2)	$v ({(0.03)}^{2} + {(0.04)}^{2})$
47292	Evaluate	v((( square root of 2)/2)^2+(( square root of 2)/2)^2)	$v ({(\frac{\sqrt{2}}{2})}^{2} + {(\frac{\sqrt{2}}{2})}^{2})$
47293	Evaluate	v((( square root of 3)/2)^2+(1/2)^2)	$v ({(\frac{\sqrt{3}}{2})}^{2} + {(\frac{1}{2})}^{2})$
47294	Evaluate	v((( square root of 3)/2)^2+(-1/2)^2)	$v ({(\frac{\sqrt{3}}{2})}^{2} + {(- \frac{1}{2})}^{2})$
47295	Evaluate	-v(1/25)/2	$- v \frac{\frac{1}{25}}{2}$
47296	Evaluate	v((-1/6)^2+(-1/8)^2)	$v ({(- \frac{1}{6})}^{2} + {(- \frac{1}{8})}^{2})$
47297	Evaluate	v((-24/25)^2+(-7/25)^2)	$v ({(- \frac{24}{25})}^{2} + {(- \frac{7}{25})}^{2})$
47298	Evaluate	v(((5 square root of 2)/2)^2+(-(5 square root of 2)/2)^2)	$v ({(\frac{5 \sqrt{2}}{2})}^{2} + {(- \frac{5 \sqrt{2}}{2})}^{2})$
47299	Evaluate	v(( square root of 2)^2+(- square root of 2)^2)	$v ({(\sqrt{2})}^{2} + {(- \sqrt{2})}^{2})$
47300	Evaluate	v((- square root of 3)^2+(1)^2)	$v ({(- \sqrt{3})}^{2} + {(1)}^{2})$