Question

Rationalise the denominator of 1/3+root2

Answer 1

Step-by-step explanation:

$\frac{1}{3 + \sqrt{2} }$

Divide & Multiply by Conjugate

$\frac{1}{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} }$

$\frac{3 - \sqrt{2} }{9 - 2}$

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