+0  
 
0
707
1
avatar

what is the square root of 250 minus the square root of 40 divided by the square root of 2

 Dec 4, 2014

Best Answer 

 #1
avatar+118723 
+5

$$\\\sqrt{250}-\frac{\sqrt{40}}{\sqrt2}\\\\
=\sqrt{250}-\frac{\sqrt{40}\sqrt2}{2}\\\\
=\sqrt{25}\sqrt{10}-\frac{\sqrt{10}\sqrt4\sqrt2}{2}\\\\
=5\sqrt{10}-\frac{\sqrt{10}*2*\sqrt2}{2}\\\\
=5\sqrt{10}-\sqrt{5}\sqrt2\sqrt2\\\\
=5\sqrt{10}-2\sqrt{5}\\\\$$

.
 Dec 5, 2014
 #1
avatar+118723 
+5
Best Answer

$$\\\sqrt{250}-\frac{\sqrt{40}}{\sqrt2}\\\\
=\sqrt{250}-\frac{\sqrt{40}\sqrt2}{2}\\\\
=\sqrt{25}\sqrt{10}-\frac{\sqrt{10}\sqrt4\sqrt2}{2}\\\\
=5\sqrt{10}-\frac{\sqrt{10}*2*\sqrt2}{2}\\\\
=5\sqrt{10}-\sqrt{5}\sqrt2\sqrt2\\\\
=5\sqrt{10}-2\sqrt{5}\\\\$$

Melody Dec 5, 2014

1 Online Users