Question

rationalize it
$3 \div \sqrt{5} + \sqrt{2}$
​

Answer 1

Answer:

$\bold{\dfrac{15 - 3\sqrt{2}}{23}}$

Step-by-step explanation:

$\dfrac{3}{5 + \sqrt{2}}\\\\\\= \dfrac{3}{5 + \sqrt{2}} \times \dfrac{5 - \sqrt{2}}{5 - \sqrt{2}}\\\\\\= \dfrac{15 - 3\sqrt{2}}{(5)^2 - (\sqrt{2})^2}\\\\\\= \dfrac{15 - 3\sqrt{2}}{25 - 2}\\\\\\= \bold{\dfrac{15 - 3\sqrt{2}}{23}}$