+0  
 
0
31
1
avatar+270 

https://vle.mathswatch.co.uk/images/questions/question1902.png

qualitystreet  Apr 11, 2018

Best Answer 

 #1
avatar+6943 
+2

Write   \(\frac{12}{\sqrt2}+\sqrt{18}\)   in the form   \(b\sqrt2\)   ,  where   \(b\)   is an integer.

 

----------

 

\(\ \quad\frac{12}{\sqrt2}+\sqrt{18}\\ =\\ \quad\frac{12}{\sqrt2}\cdot\frac{\sqrt2}{\sqrt2}+\sqrt{18}\\ =\\ \quad\frac{12\sqrt2}{2}+\sqrt{18}\\ =\\ \quad6\sqrt2+\sqrt{18}\\ =\\ \quad6\sqrt2+\sqrt{2\cdot3\cdot3}\\ =\\ \quad6\sqrt2+3\sqrt2\\ =\\ \quad9\sqrt2\)

hectictar  Apr 11, 2018
Sort: 

1+0 Answers

 #1
avatar+6943 
+2
Best Answer

Write   \(\frac{12}{\sqrt2}+\sqrt{18}\)   in the form   \(b\sqrt2\)   ,  where   \(b\)   is an integer.

 

----------

 

\(\ \quad\frac{12}{\sqrt2}+\sqrt{18}\\ =\\ \quad\frac{12}{\sqrt2}\cdot\frac{\sqrt2}{\sqrt2}+\sqrt{18}\\ =\\ \quad\frac{12\sqrt2}{2}+\sqrt{18}\\ =\\ \quad6\sqrt2+\sqrt{18}\\ =\\ \quad6\sqrt2+\sqrt{2\cdot3\cdot3}\\ =\\ \quad6\sqrt2+3\sqrt2\\ =\\ \quad9\sqrt2\)

hectictar  Apr 11, 2018

14 Online Users

avatar
avatar
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.  See details