Question

Rationalize the denominator of : 3+ √2 /3-√2​

Answer 1

$\sf{{\dfrac{3+{\sqrt{2}}}{3-{\sqrt{2}}}}}$

Multiply $\sf{\color{navy}{3+{\sqrt{2}}}}$ in numerator and denominator

$\sf{={\dfrac{{(3+{\sqrt{2}})(3+{\sqrt{2}})}}{(3-{\sqrt{2}})(3+{\sqrt{2}})}}}$

$\sf{={\dfrac{9+6{\sqrt{2}}+2}{7}}}$

$\sf{={\dfrac{11+6{\sqrt{2}}}{7}}}$