Question

Please could I have some help :)

Answer 1

Answer:

a) $\frac{\sqrt{15} }{\sqrt{5}}\cdot \frac{\sqrt{5} }{\sqrt{5}}=\frac{\sqrt{75} }{5}=\frac{5\sqrt{3}}{5}=\sqrt{3}$

or simply

$\frac{\sqrt{15}}{\sqrt{5}}=\sqrt{\frac{15}{5}}=\sqrt{3}$

b)$\frac{\sqrt{3}\:}{\sqrt{6}} \cdot \frac{\sqrt{6}\:}{\sqrt{6}}=\frac{\sqrt{18} }{6}=\frac{3\sqrt{2} }{6}=\frac{\sqrt{2} }{2}$

or

$\frac{\sqrt{3}}{\sqrt{6}}=\sqrt{\frac{3}{6}}=\sqrt{\frac{1}{2}}$

$\sqrt{\frac{1}{2}}=\frac{\sqrt{2} }{2}$