Question

Simplify using suitable identites
​

Answer 1

Step-by-step explanation:

1.

$(\sqrt{3} - \sqrt{5} )( \sqrt{3} + \sqrt{5} )$

$= {( \sqrt{3)} }^{2} - {( \sqrt{5)} }^{2}$

$= 3 - 5$

$= - 2$

2.

$\frac{ \sqrt{7} }{ \sqrt{49} }$

$= \frac{ \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }$

$= \frac{1}{ \sqrt{7} }$

3.

$\sqrt[3]{64}$

$= \sqrt[3]{4 \times 4 \times 4}$

$= 4$

4.

$\frac{ \sqrt{32} }{ \sqrt{8} }$

$= \frac{ \sqrt{8 \times 4} }{ \sqrt{8} }$

$= \sqrt{4}$