Question

rationalise the denominator 1/3+root 7

Answer 1

Answer:

1/3+√7×3-√7/3-√7

3-√7/2

Answer 2

Step-by-step explanation:

$\frac{1}{3 + \sqrt{7} }$

Inorder to rationalize the denominator

multiply and divide with

$3 - \sqrt{7}$

it becomes,

$\frac{3 - \sqrt{7} }{(3 + \sqrt{7)(3 - \sqrt{7)} } }$

$\frac{3 - \sqrt{7} }{9 - 7}$

$\frac{3 - \sqrt{7} }{2}$