Question

rationalise 1/(3+√2)​

Answer 1

Answer:

1/(3+√2)= (3-√2)*1/(3+√2)*(3-√2)=3-√2/3^2-√2^2= 3-√2/9-2=3-√2/7=3/7-√2/7

Answer 2

Answer:

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

Step-by-step explanation:

$\frac{1}{3+\sqrt{2} } =\frac{1}{3+\sqrt{2} }*\frac{{3-\sqrt{2} }}{{3-\sqrt{2} }} =\frac{{3-\sqrt{2} }}{3^{2}- \sqrt{2} ^{2} } =\frac{{3-\sqrt{2} }}{9-2} =\frac{{3-\sqrt{2} }}{7}$