# How do you simplify 3/ (8 - sqrt2)?

$\frac{3}{8 - \sqrt{2}} = \frac{24 + 3 \sqrt{2}}{62}$

#### Explanation:

From the given expression $\frac{3}{8 - \sqrt{2}}$, start by rationalization by multiplying the expression by $\frac{8 + \sqrt{2}}{8 + \sqrt{2}}$

Let us do it

$\frac{3}{8 - \sqrt{2}} \cdot \frac{8 + \sqrt{2}}{8 + \sqrt{2}}$

$\frac{3 \left(8 + \sqrt{2}\right)}{{8}^{2} - {\left(\sqrt{2}\right)}^{2}}$

$\frac{24 + 3 \sqrt{2}}{64 - 2}$

$\frac{24 + 3 \sqrt{2}}{62}$

God bless....I hope the explanation is useful.