Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17701	Simplify	( square root of 4+4/3)/2+(3-4/3)/4	$\frac{\sqrt{4 + \frac{4}{3}}}{2} + \frac{3 - \frac{4}{3}}{4}$
17702	Simplify	(2 square root of 3)^2+(2 square root of 6)^2	${(2 \sqrt{3})}^{2} + {(2 \sqrt{6})}^{2}$
17703	Determine the Type of Number	e^0	$e^{0}$
17704	Simplify	( square root of 27)/2+( square root of 75)/7	$\frac{\sqrt{27}}{2} + \frac{\sqrt{75}}{7}$
17705	Simplify	( square root of 3)/2*( square root of 3)/2	$\frac{\sqrt{3}}{2} \cdot \frac{\sqrt{3}}{2}$
17706	Simplify	( square root of 3)/2+-1/2	$\frac{\sqrt{3}}{2} + \frac{- 1}{2}$
17707	Simplify	( square root of 3-2)/( square root of 3+2)+( square root of 3+2)/( square root of 3-2)	$\frac{\sqrt{3} - 2}{\sqrt{3} + 2} + \frac{\sqrt{3} + 2}{\sqrt{3} - 2}$
17708	Simplify	( square root of 45)/7+2/x	$\frac{\sqrt{45}}{7} + \frac{2}{x}$
17709	Simplify	( square root of 45)/7+2/7	$\frac{\sqrt{45}}{7} + \frac{2}{7}$
17710	Simplify	( square root of 50)/9+( square root of 8)/5	$\frac{\sqrt{50}}{9} + \frac{\sqrt{8}}{5}$
17711	Simplify	( square root of 57)/6-3/2	$\frac{\sqrt{57}}{6} - \frac{3}{2}$
17712	Simplify	( square root of 7)/( square root of 11)+( square root of 11)/( square root of 7)	$\frac{\sqrt{7}}{\sqrt{11}} + \frac{\sqrt{11}}{\sqrt{7}}$
17713	Simplify	\|(-2)^2+6(3-15)\|+(-9) square root of 81*16	$\| {(- 2)}^{2} + 6 (3 - 15) \| + (- 9) \sqrt{81 \cdot 16}$
17714	Simplify	1/( square root of 11)+2/( square root of 1331)+1/( square root of 161.051)	$\frac{1}{\sqrt{11}} + \frac{2}{\sqrt{1331}} + \frac{1}{\sqrt{161.051}}$
17715	Simplify	1/( square root of 2)- square root of 2	$\frac{1}{\sqrt{2}} - \sqrt{2}$
17716	Simplify	1/( square root of 3)(( square root of 5)/2)+1/( square root of 3)(1/2)	$\frac{1}{\sqrt{3}} \cdot (\frac{\sqrt{5}}{2}) + \frac{1}{\sqrt{3}} \cdot (\frac{1}{2})$
17717	Simplify	1/( square root of 5)-( square root of 5)/( square root of 5)	$\frac{1}{\sqrt{5}} - \frac{\sqrt{5}}{\sqrt{5}}$
17718	Simplify	-1/2* square root of 245+7/4* square root of 125+7/5* square root of 180+ square root of 245	$- \frac{1}{2} \cdot \sqrt{245} + \frac{7}{4} \cdot \sqrt{125} + \frac{7}{5} \cdot \sqrt{180} + \sqrt{245}$
17719	Simplify	1/2* square root of 3-5 square root of 3	$\frac{1}{2} \cdot \sqrt{3} - 5 \sqrt{3}$
17720	Simplify	1/2+( square root of 2)/2	$\frac{1}{2} + \frac{\sqrt{2}}{2}$
17721	Simplify	1/2+5.5 square root of 9	$\frac{1}{2} + 5.5 \sqrt{9}$
17722	Simplify	1/(3 square root of 2)-2 square root of 2+7 square root of 2-1/(6 square root of 2)	$\frac{1}{3 \sqrt{2}} - 2 \sqrt{2} + 7 \sqrt{2} - \frac{1}{6 \sqrt{2}}$
17723	Simplify	1/3* square root of 72+1/4* square root of 32-1/2* square root of 72+7/12* square root of 18	$\frac{1}{3} \cdot \sqrt{72} + \frac{1}{4} \cdot \sqrt{32} - \frac{1}{2} \cdot \sqrt{72} + \frac{7}{12} \cdot \sqrt{18}$
17724	Simplify	1/(3+ square root of 7)+1/(3- square root of 7)	$\frac{1}{3 + \sqrt{7}} + \frac{1}{3 - \sqrt{7}}$
17725	Simplify	1/45 square root of -8^4+2(86)^2+2(82)^2-6^4+2(612)^2-12^4	$\frac{1}{4} \cdot 5 \cdot \sqrt{- 8^{4} + 2} \cdot {(8 \cdot 6)}^{2} + 2 \cdot {(8 \cdot 2)}^{2} - 6^{4} + 2 \cdot {(6 \cdot 12)}^{2} - 12^{4}$
17726	Simplify	1/4* square root of 192-2/3* square root of 75+1/7* square root of 147	$\frac{1}{4} \cdot \sqrt{192} - \frac{2}{3} \cdot \sqrt{75} + \frac{1}{7} \cdot \sqrt{147}$
17727	Simplify	12/12+ square root of 34	$\frac{12}{12} + \sqrt{34}$
17728	Simplify	12/4+3(8-2) square root of 12	$\frac{12}{4} + 3 (8 - 2) \sqrt{12}$
17729	Simplify	15/12*(-3/5)+(1/7-3/5)÷( square root of 343/7)	$\frac{15}{12} \cdot (- \frac{3}{5}) + (\frac{1}{7} - \frac{3}{5}) \div \sqrt{\frac{343}{7}}$
17730	Simplify	(2( square root of 5+ square root of 3))/( square root of 5- square root of 3)-2 square root of 15	$\frac{2 (\sqrt{5} + \sqrt{3})}{\sqrt{5} - \sqrt{3}} - 2 \sqrt{15}$
17731	Simplify	(27 square root of 2)/64+(2 square root of 2)/3	$\frac{27 \sqrt{2}}{64} + \frac{2 \sqrt{2}}{3}$
17732	Simplify	3/2(9- square root of 17)/4(9+ square root of 17)/4	$\frac{3}{2} \cdot \frac{9 - \sqrt{17}}{4} \cdot \frac{9 + \sqrt{17}}{4}$
17733	Simplify	3^( cube root of 24)+ cube root of 81	$3^{\sqrt[3]{24}} + \sqrt[3]{81}$
17734	Simplify	4/3-(4 square root of 2)/3	$\frac{4}{3} - \frac{4 \sqrt{2}}{3}$
17735	Simplify	-4/6+(2 square root of 13)/6	$\frac{- 4}{6} + \frac{2 \sqrt{13}}{6}$
17736	Simplify	4^3 square root of 40+ cube root of 625	$4^{3} \sqrt{40} + \sqrt[3]{625}$
17737	Simplify	(4+ square root of 5)/(4- square root of 5)+(4- square root of 5)/(4+ square root of 5)	$\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}}$
17738	Simplify	45/23+23+4 square root of 12	$\frac{45}{23} + 23 + 4 \sqrt{12}$
17739	Simplify	(5 square root of 7)/8+(4 square root of 6)/7	$\frac{5 \sqrt{7}}{8} + \frac{4 \sqrt{6}}{7}$
17740	Simplify	5/9* cube root of 5	$\frac{5}{9} \cdot \sqrt[3]{5}$
17741	Simplify	5^3 square root of 16-3^3 square root of 54	$5^{3} \sqrt{16} - 3^{3} \sqrt{54}$
17742	Simplify	6/( square root of 3)+ square root of 27	$\frac{6}{\sqrt{3}} + \sqrt{27}$
17743	Simplify	(7( square root of 3))/( square root of 3)+7	$\frac{7 (\sqrt{3})}{\sqrt{3}} + 7$
17744	Simplify	(7 square root of 5)/3-( square root of 45)/3	$\frac{7 \sqrt{5}}{3} - \frac{\sqrt{45}}{3}$
17745	Simplify	7/30- square root of 82	$\frac{7}{30} - \sqrt{82}$
17746	Simplify	7/9* square root of 3	$\frac{7}{9} \cdot \sqrt{3}$
17747	Simplify	7÷5+4^( square root of 3^2)-(-6*2)	$7 \div 5 + 4^{\sqrt{3^{2}}} - (- 6 \cdot 2)$
17748	Simplify	87/(4+31)+2 square root of 9-12/35+3 square root of 20/(108)+7^23-15	$\frac{87}{4 + 3 \cdot 1} + 2 \sqrt{9 - \frac{12}{3}} \cdot 5 + 3 \sqrt{\frac{20}{10 \cdot 8}} + 7^{2} \cdot 3 - 15$
17749	Simplify	(9 square root of 3)/5+(7 square root of 3)/2	$\frac{9 \sqrt{3}}{5} + \frac{7 \sqrt{3}}{2}$
17750	Simplify	(9 square root of 7)/7-(5 square root of 6)/4	$\frac{9 \sqrt{7}}{7} - \frac{5 \sqrt{6}}{4}$
17751	Simplify	9/10*(-2/3)+(1/7-2/3)÷( square root of 343/7)	$\frac{9}{10} \cdot (- \frac{2}{3}) + (\frac{1}{7} - \frac{2}{3}) \div \sqrt{\frac{343}{7}}$
17752	Simplify	9/41(8 square root of 113)/113+40/41( square root of 113)/113	$\frac{9}{41} \cdot \frac{8 \sqrt{113}}{113} + \frac{40}{41} \cdot \frac{\sqrt{113}}{113}$
17753	Combine	3u^2+18v+2u^2	$3 u^{2} + 18 v + 2 u^{2}$
17754	Combine	3 square root of 27*(3 square root of 6)	$3 \sqrt{27} \cdot (3 \sqrt{6})$
17755	Combine	30a+18	$30 a + 18$
17756	Combine	3-2 2/3	$3 - 2 \frac{2}{3}$
17757	Combine	35*21 3/4	$35 \cdot 21 \frac{3}{4}$
17758	Combine	36 1/2-8 1/3	$36 \frac{1}{2} - 8 \frac{1}{3}$
17759	Combine	-36a^9+30a^4+12a^2	$- 36 a^{9} + 30 a^{4} + 12 a^{2}$
17760	Combine	37+18 2/3	$37 + 18 \frac{2}{3}$
17761	Combine	37-32*5/9	$37 - 32 \cdot \frac{5}{9}$
17762	Combine	3a+7-11-9a	$3 a + 7 - 11 - 9 a$
17763	Combine	4 2/3*6 1/4	$4 \frac{2}{3} \cdot 6 \frac{1}{4}$
17764	Combine	4 2/5-2 1/3	$4 \frac{2}{5} - 2 \frac{1}{3}$
17765	Combine	-4(4y-7)+2(2y+9)	$- 4 (4 y - 7) + 2 (2 y + 9)$
17766	Combine	4.35+0.5a	$4.35 + 0.5 a$
17767	Combine	4 3/4+2 1/8	$4 \frac{3}{4} + 2 \frac{1}{8}$
17768	Combine	4 4/5-2 1/2	$4 \frac{4}{5} - 2 \frac{1}{2}$
17769	Combine	4 7/12-2 1/4	$4 \frac{7}{12} - 2 \frac{1}{4}$
17770	Combine	4k^2+24k-36	$4 k^{2} + 24 k - 36$
17771	Combine	42%*603924	$42 % \cdot 603924$
17772	Combine	45a^8t^9-15a^6t^7+25a^3t^4-(15a^6t^2)÷5a^3t	$45 a^{8} t^{9} - 15 a^{6} t^{7} + 25 a^{3} t^{4} - 15 a^{6} t^{2} \div 5 a^{3} t$
17773	Combine	45h-23h	$45 h - 23 h$
17774	Combine	49 1/4+3 3/8	$49 \frac{1}{4} + 3 \frac{3}{8}$
17775	Combine	-4n-8+2n	$- 4 n - 8 + 2 n$
17776	Combine	4r-8r+7+r	$4 r - 8 r + 7 + r$
17777	Combine	4sin(pi/2)+4(pi/2)cos(pi/2)	$4 \sin (\frac{π}{2}) + 4 (\frac{π}{2}) \cos (\frac{π}{2})$
17778	Combine	4y-(3+y)	$4 y - (3 + y)$
17779	Combine	-24x^2+337x-133	$- 24 x^{2} + 337 x - 133$
17780	Combine	5 1/7-2 2/3	$5 \frac{1}{7} - 2 \frac{2}{3}$
17781	Combine	5 1/8-2 1/4	$5 \frac{1}{8} - 2 \frac{1}{4}$
17782	Combine	5 3/8-1 5/8	$5 \frac{3}{8} - 1 \frac{5}{8}$
17783	Combine	5 9/13+5 9/13	$5 \frac{9}{13} + 5 \frac{9}{13}$
17784	Combine	5 1/2-1/3-1/4	$5 \frac{1}{2} - \frac{1}{3} - \frac{1}{4}$
17785	Combine	5 1/6-2 2/3	$5 \frac{1}{6} - 2 \frac{2}{3}$
17786	Combine	5 4/9÷(2/15)*3/7-7 5/6	$5 \frac{4}{9} \div \frac{2}{15} \cdot \frac{3}{7} - 7 \frac{5}{6}$
17787	Combine	5 7/10+8 2/3	$5 \frac{7}{10} + 8 \frac{2}{3}$
17788	Combine	5p^3m^5+2p^3m^2	$5 p^{3} m^{5} + 2 p^{3} m^{2}$
17789	Combine	5+\|w+z\|	$5 + \| w + z \|$
17790	Combine	5+5	$5 + 5$
17791	Combine	5-4 3/4+1/8	$5 - 4 \frac{3}{4} + \frac{1}{8}$
17792	Combine	5m+3	$5 m + 3$
17793	Combine	6 1/3+4 3/4+3 7/12	$6 \frac{1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$
17794	Combine	6 1/4-1 3/4	$6 \frac{1}{4} - 1 \frac{3}{4}$
17795	Combine	6 4/5-3 1/2	$6 \frac{4}{5} - 3 \frac{1}{2}$
17796	Combine	6 square root of 150+ square root of 215	$6 \sqrt{150} + \sqrt{215}$
17797	Combine	63 3/8-65 1/4	$63 \frac{3}{8} - 65 \frac{1}{4}$
17798	Combine	6g-3f+8f-g	$6 g - 3 f + 8 f - g$
17799	Combine	6m^78cm+8m^62cm	$6 m^{78} cm + 8 m^{62} cm$
17800	Combine	7 2/9+3 1/2	$7 \frac{2}{9} + 3 \frac{1}{2}$