Question

I need help please.

Answer 1

`(7√(5) )/(8)`

Explanation:

Using the rules of radicals

`\sqrt{(a)/(b) }` =
`(√(a) )/(√(b) )`

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

`\sqrt{(245)/(64) }` =
`(√(245) )/(√(64) )`

Simplifying the radicals

`√(245)`

=
`√(5(7)(7))`

=
`√(49(5))`

=
`√(49)` ×
`√(5)` = 7
`√(5)`

and

`√(64)` = 8

The simplified radical is

`(7√(5) )/(8)`