Question

Please help with these 3 questions about simplifying square roots...

Answer 1

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply $\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}$

to get $\frac{3\sqrt{2}}{2}$.

#3:

$\sqrt\frac{2}{5}$ is the same as $\frac{\sqrt{2}}{\sqrt{5}}$ so we multiply by $\frac{\sqrt{5}}{\sqrt{5}}$ so we get $\frac{\sqrt{10}}{5}$.

#4:

We combine like terms to get  $-2\sqrt{2} + 4\sqrt{3}$

Hope this helps!