Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18701	Simplify	-12-( square root of 224)/4	$- 12 - \frac{\sqrt{224}}{4}$
18702	Simplify	17+ square root of 89	$17 + \sqrt{89}$
18703	Simplify	18 square root of 3-24 square root of 3+ square root of 3	$18 \sqrt{3} - 24 \sqrt{3} + \sqrt{3}$
18704	Simplify	2(2/( square root of 3))- square root of 3	$2 (\frac{2}{\sqrt{3}}) - \sqrt{3}$
18705	Simplify	2v(2)-1	$2 v (2) - 1$
18706	Simplify	2 square root of 12+ square root of 48- square root of 8	$2 \sqrt{12} + \sqrt{48} - \sqrt{8}$
18707	Simplify	2 square root of 12-2 square root of 12	$2 \sqrt{12} - 2 \sqrt{12}$
18708	Simplify	2 square root of 125+3 square root of 25	$2 \sqrt{125} + 3 \sqrt{25}$
18709	Simplify	2 square root of 20+3 square root of 80-6 square root of 45+ square root of 245	$2 \sqrt{20} + 3 \sqrt{80} - 6 \sqrt{45} + \sqrt{245}$
18710	Simplify	2 square root of 27+2 square root of 12	$2 \sqrt{27} + 2 \sqrt{12}$
18711	Simplify	2 square root of -3- square root of 27+3 square root of -12	$2 \sqrt{- 3} - \sqrt{27} + 3 \sqrt{- 12}$
18712	Simplify	2 square root of 3+6 square root of 3	$2 \sqrt{3} + 6 \sqrt{3}$
18713	Simplify	2 square root of 39+2 square root of 3	$2 \sqrt{39} + 2 \sqrt{3}$
18714	Simplify	2 square root of 40+3 square root of 90	$2 \sqrt{40} + 3 \sqrt{90}$
18715	Simplify	2 square root of 50- square root of 2	$2 \sqrt{50} - \sqrt{2}$
18716	Simplify	2 square root of 50+3 square root of 98	$2 \sqrt{50} + 3 \sqrt{98}$
18717	Simplify	2 square root of 54-3 square root of 96	$2 \sqrt{54} - 3 \sqrt{96}$
18718	Simplify	-2 square root of 63- square root of 28	$- 2 \sqrt{63} - \sqrt{28}$
18719	Simplify	2 square root of 7-3 square root of 7	$2 \sqrt{7} - 3 \sqrt{7}$
18720	Simplify	2 square root of 80-6 square root of 5	$2 \sqrt{80} - 6 \sqrt{5}$
18721	Simplify	2v^112+6 square root of 6	$2 v^{112} + 6 \sqrt{6}$
18722	Simplify	2 cube root of 40+ cube root of 135	$2 \sqrt[3]{40} + \sqrt[3]{135}$
18723	Simplify	-2 fourth root of 117-6 fifth root of 342	$- 2 \sqrt[4]{117} - 6 \sqrt[5]{342}$
18724	Simplify	-2-2/(6543827 root of 644)	$- 2 - \frac{2}{6 \sqrt[543827]{644}}$
18725	Simplify	2+ square root of 21	$2 + \sqrt{21}$
18726	Simplify	2÷5- square root of 3	$2 \div 5 - \sqrt{3}$
18727	Simplify	20 square root of 5+12 square root of 5	$20 \sqrt{5} + 12 \sqrt{5}$
18728	Simplify	20-4 cube root of 49+5 cube root of 9- cube root of 441	$20 - 4 \sqrt[3]{49} + 5 \sqrt[3]{9} - \sqrt[3]{441}$
18729	Simplify	-28+4 square root of 17	$- 28 + 4 \sqrt{17}$
18730	Simplify	2-9÷( square root of 9/64)	$2 - 9 \div \sqrt{\frac{9}{64}}$
18731	Simplify	2( square root of 2(3 square root of 6+4 square root of 3))	$2 \cdot (\sqrt{2} (3 \sqrt{6} + 4 \cdot \sqrt{3}))$
18732	Simplify	(-3(6-(-5-1)+2))÷( square root of 36)*-2-(-4)	$- 3 (6 - (- 5 - 1) + 2) \div \sqrt{36} \cdot - 2 - (- 4)$
18733	Simplify	(3( square root of 16-2))/2-15	$\frac{3 (\sqrt{16} - 2)}{2} - 15$
18734	Simplify	3 square root of -(-9)+2	$3 \sqrt{- (- 9)} + 2$
18735	Simplify	3 square root of 11+7 square root of 11	$3 \sqrt{11} + 7 \sqrt{11}$
18736	Simplify	3 square root of 11-5 square root of 13	$3 \sqrt{11} - 5 \sqrt{13}$
18737	Simplify	3 square root of 112+ square root of 252	$3 \sqrt{112} + \sqrt{252}$
18738	Simplify	3 square root of 112-5 square root of 252+8 square root of 175	$3 \sqrt{112} - 5 \sqrt{252} + 8 \sqrt{175}$
18739	Simplify	3 square root of 12*(5 square root of 27)	$3 \sqrt{12} \cdot (5 \sqrt{27})$
18740	Simplify	3 square root of 14-2 square root of 14	$3 \sqrt{14} - 2 \sqrt{14}$
18741	Simplify	3 square root of 180+4 square root of 125-2 square root of 45	$3 \sqrt{180} + 4 \sqrt{125} - 2 \sqrt{45}$
18742	Simplify	3 square root of 2+ square root of 8	$3 \sqrt{2} + \sqrt{8}$
18743	Simplify	3 square root of 2-2 square root of 3	$3 \sqrt{2} - 2 \sqrt{3}$
18744	Simplify	3 square root of 2-3 square root of 2	$3 \sqrt{2} - 3 \sqrt{2}$
18745	Simplify	-3 square root of 20- square root of 5	$- 3 \sqrt{20} - \sqrt{5}$
18746	Simplify	3 square root of 24+2 square root of 45+3 square root of 24	$3 \sqrt{24} + 2 \sqrt{45} + 3 \sqrt{24}$
18747	Simplify	3 square root of 25+4 square root of 9	$3 \sqrt{25} + 4 \sqrt{9}$
18748	Simplify	-3 square root of 27-3 square root of 3	$- 3 \sqrt{27} - 3 \sqrt{3}$
18749	Simplify	3 square root of 28+ square root of 7-9 square root of 7	$3 \sqrt{28} + \sqrt{7} - 9 \sqrt{7}$
18750	Simplify	-3 square root of 3+2 square root of 48	$- 3 \sqrt{3} + 2 \sqrt{48}$
18751	Simplify	3 square root of 32* square root of 50	$3 \sqrt{32} \cdot \sqrt{50}$
18752	Simplify	3 square root of -36+2 square root of -64	$3 \sqrt{- 36} + 2 \sqrt{- 64}$
18753	Simplify	3 square root of 5(4 square root of 6) square root of 15	$3 \sqrt{5} \cdot (4 \sqrt{6}) \cdot \sqrt{15}$
18754	Simplify	-3 square root of 5+4 square root of 5-2 square root of 5	$- 3 \sqrt{5} + 4 \sqrt{5} - 2 \sqrt{5}$
18755	Simplify	3 square root of 50- square root of 162+5 square root of 72	$3 \sqrt{50} - \sqrt{162} + 5 \sqrt{72}$
18756	Simplify	3 square root of 54-7 square root of 24	$3 \sqrt{54} - 7 \sqrt{24}$
18757	Simplify	3 square root of 6+5 square root of 24+ square root of 24+2 square root of 54	$3 \sqrt{6} + 5 \sqrt{24} + \sqrt{24} + 2 \sqrt{54}$
18758	Simplify	-3 square root of 6-4 square root of 6	$- 3 \sqrt{6} - 4 \sqrt{6}$
18759	Simplify	-3 square root of 64+2 square root of 25	$- 3 \sqrt{64} + 2 \sqrt{25}$
18760	Simplify	3 square root of 7+5 square root of 28+ square root of 28+4 square root of 63	$3 \sqrt{7} + 5 \sqrt{28} + \sqrt{28} + 4 \sqrt{63}$
18761	Simplify	3 square root of 72-3 square root of 72-2 square root of 6+4 square root of 7	$3 \sqrt{72} - 3 \sqrt{72} - 2 \sqrt{6} + 4 \sqrt{7}$
18762	Simplify	3 square root of 75- square root of 27+7 square root of 3	$3 \sqrt{75} - \sqrt{27} + 7 \sqrt{3}$
18763	Simplify	3 square root of 75+ square root of 48	$3 \sqrt{75} + \sqrt{48}$
18764	Simplify	3 square root of 8-2 square root of 32	$3 \sqrt{8} - 2 \sqrt{32}$
18765	Simplify	3 square root of 8+2 square root of 27+3 square root of 3	$3 \sqrt{8} + 2 \sqrt{27} + 3 \sqrt{3}$
18766	Simplify	3 square root of 98* square root of 96	$3 \sqrt{98} \cdot \sqrt{96}$
18767	Simplify	3 square root of 98* square root of 54	$3 \sqrt{98} \cdot \sqrt{54}$
18768	Simplify	3 cube root of 24+ cube root of 81	$3 \sqrt[3]{24} + \sqrt[3]{81}$
18769	Simplify	-3 fourth root of 243+ square root of 48- square root of 108+ square root of 54	$- 3 \sqrt[4]{243} + \sqrt{48} - \sqrt{108} + \sqrt{54}$
18770	Simplify	3+( square root of 18)/(1+ square root of 8)	$3 + \frac{\sqrt{18}}{1 + \sqrt{8}}$
18771	Simplify	-3+ fourth root of 362	$- 3 + \sqrt[4]{362}$
18772	Simplify	3-2 square root of 5	$3 - 2 \sqrt{5}$
18773	Simplify	4(3+2 square root of 5)- square root of 10( square root of 2+ square root of 10)	$4 (3 + 2 \sqrt{5}) - \sqrt{10} (\sqrt{2} + \sqrt{10})$
18774	Simplify	4(9-5)+ square root of 25	$4 (9 - 5) + \sqrt{25}$
18775	Simplify	4* square root of 63/25-( square root of 8)/( square root of 98)	$4 \cdot \sqrt{\frac{63}{25}} - \frac{\sqrt{8}}{\sqrt{98}}$
18776	Find the Distance Between Two Points	(3,4) , (15,20)	$P (3, 4)$ , $Q (15, 20)$
18777	Find the Distance Between Two Points	(-4,-2) , (-2,3)	$P (- 4, - 2)$ , $Q (- 2, 3)$
18778	Find the Distance Between Two Points	(4,3) , (9,5)	$P (4, 3)$ , $Q (9, 5)$
18779	Find the Distance Between Two Points	(-1,5) , (3,7)	$R (- 1, 5)$ , $S (3, 7)$
18780	Find the Distance Between Two Points	(6,2) , (2,0)	$t (6, 2)$ , $m (2, 0)$
18781	Find the Distance Between Two Points	(9,4) , (-1,6)	$(9, 4) (- 1, 6)$
18782	Simplify	(2xy^4)^4(xy)^6	${(2 x y^{4})}^{4} {(x y)}^{6}$
18783	Convert to an Improper Fraction	16 2/3	$16 \frac{2}{3}$
18784	Solve by Substitution	x+y=2xy , x+z=4xz , y+z=8yz	$x + y = 2 x y$ , $x + z = 4 x z$ , $y + z = 8 y z$
18785	Solve by Graphing	x=2 , y=1 , z=2 , f(x,y,z)=xy^2z^3+3	$x = 2$ , $y = 1$ , $z = 2$ , $f (x, y, z) = x y^{2} z^{3} + 3$
18786	Subtract	-8-5	$- 8 - 5$
18787	Maximize the Equation given the Constraints	square root of 5/(x^2)* square root of (x^2)/45 and x>0	$\sqrt{\frac{5}{x^{2}}} \cdot \sqrt{\frac{x^{2}}{45}}$ and $x > 0$
18788	Minimize the Equation given the Constraints	z=5x+30y 9x+12y>=61 8x+4y>=32 x>=0 , y>=0	$z = 5 x + 30 y$ $9 x + 12 y \geq 61$ $8 x + 4 y \geq 32$ $x \geq 0$ , $y \geq 0$
18789	Find the Intersection of the Inequalities	x<1 and x>=6	$x < 1$ and $x \geq 6$
18790	Find the Intersection of the Inequalities	x>7 or x<=5	$x > 7$ or $x \leq 5$
18791	Find the Intersection of the Inequalities	-2v>-6 , 3v-2=-14	$- 2 v > - 6$ , $3 v - 2 = - 14$
18792	Find the Intersection of the Inequalities	x>4 or x<9	$x > 4$ or $x < 9$
18793	Find the Intersection of the Inequalities	2x+3y=12 , 3x-y=9	$2 x + 3 y = 12$ , $3 x - y = 9$
18794	Find the Intersection of the Inequalities	2x+5y<10 , y=3x-2	$2 x + 5 y < 10$ , $y = 3 x - 2$
18795	Find the Intersection of the Inequalities	3x>-9 and 4x-11<5	$3 x > - 9$ and $4 x - 11 < 5$
18796	Find the Intersection of the Inequalities	x>3 and x>=7	$x > 3$ and $x \geq 7$
18797	Find the Intersection of the Inequalities	2y-3<-7 , 4y+6<30	$2 y - 3 < - 7$ , $4 y + 6 < 30$
18798	Find the Intersection of the Inequalities	x>1 and x<=5	$x > 1$ and $x \leq 5$
18799	Find the Intersection of the Inequalities	x<9 and x>-9	$x < 9$ and $x > - 9$
18800	Find the Intersection of the Inequalities	4x-4>20 and 3x+3<6	$4 x - 4 > 20$ and $3 x + 3 < 6$