Question

I need help please.

Answer 1

Answer:

$\frac{7\sqrt{5} }{8}$

Step-by-step explanation:

Using the rules of radicals

$\sqrt{\frac{a}{b} }$ = $\frac{\sqrt{a} }{\sqrt{b} }$

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{\frac{245}{64} }$ = $\frac{\sqrt{245} }{\sqrt{64} }$

Simplifying the radicals

$\sqrt{245}$

= $\sqrt{5(7)(7)}$

= $\sqrt{49(5)}$

= $\sqrt{49}$ × $\sqrt{5}$ = 7$\sqrt{5}$

and

$\sqrt{64}$ = 8

The simplified radical is

$\frac{7\sqrt{5} }{8}$