Question

PLEASE HELP!!!

`\sqrt(7)/(8)` In simplest radical form

Answer 1

Explanation:

`\sqrt{(7)/(8) } = \sqrt{(7)/(8)*(8)/(8)`

= sqrt(56)/8

Answer 2

(√14)/4

Explanation:

You can "rationalize the denominator" after you take the root, or you can make the denominator a perfect square before you take the root.

`\sqrt{(7)/(8)}=(√(7))/(2√(2))=(√(7))/(2√(2))\cdot(√(2))/(√(2))=(√(14))/(4)\\\\\sqrt{(7)/(8)}=\sqrt{(7)/(8)\cdot(2)/(2)}=\sqrt{(14)/(16)}=(√(14))/(4)`