Question

Rationalise the denominator of1/3+√2

Answer 1

Answer:

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

Step-by-step explanation:

$lets \: rationalize \: the \: denominator \\ = ) \frac{1}{3 + \sqrt{2} } \\ = ) \frac{1}{ 3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } \\ = ) \frac{3 - \sqrt{2} }{3 + \sqrt{2} \times 3 - \sqrt{2} } \\ = ) \frac{3 - \sqrt{2} }{ {3}^{2} - \sqrt{2} ^{2} } \\ = ) \frac{3 - \sqrt{2} }{9 - 2} \\ = ) \frac{3 - \sqrt{2} }{7}$

Hope It helped!!