+0  
 
0
129
1
avatar

Rationalize the denominator: $\frac{1}{\sqrt{8}+\sqrt{50}+\sqrt{18}}$.

Guest Jan 13, 2018

Best Answer 

 #1
avatar+7056 
+1

\(\quad\,\frac{1}{\sqrt{8}+\sqrt{50}+\sqrt{18}} \\~\\ =\,\frac{1}{2\sqrt{2}\,+\,5\sqrt{2}\,+\,3\sqrt{2}} \\~\\ =\,\frac{1}{10\sqrt{2}} \\~\\ =\,\frac{1\,\cdot\,\sqrt2}{10\sqrt2\,\cdot\,\sqrt2} \\~\\ =\,\frac{\sqrt2}{10\,\cdot\,2} \\~\\ =\,\frac{\sqrt2}{20}\)

hectictar  Jan 13, 2018
Sort: 

1+0 Answers

 #1
avatar+7056 
+1
Best Answer

\(\quad\,\frac{1}{\sqrt{8}+\sqrt{50}+\sqrt{18}} \\~\\ =\,\frac{1}{2\sqrt{2}\,+\,5\sqrt{2}\,+\,3\sqrt{2}} \\~\\ =\,\frac{1}{10\sqrt{2}} \\~\\ =\,\frac{1\,\cdot\,\sqrt2}{10\sqrt2\,\cdot\,\sqrt2} \\~\\ =\,\frac{\sqrt2}{10\,\cdot\,2} \\~\\ =\,\frac{\sqrt2}{20}\)

hectictar  Jan 13, 2018

5 Online Users

New Privacy Policy (May 2018)
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  Privacy Policy