Question

Rationalize the denominator of following:1)1/2+ root2, 2.)3/4 root3

Answer 1

1). $\frac{1}{2+\sqrt{2} } * \frac{2-\sqrt{2} }{2-\sqrt{2} }$

   $=\frac{2-\sqrt{2} }{2^{2} - \sqrt{2} ^{2} }$

   $=\frac{2-\sqrt{2} }{2}$

2). $\frac{3}{4\sqrt{3} }$$*\frac{\sqrt{3} }{\sqrt{3} }$

    =$\frac{3\sqrt{3} }{12}$