Question

Find the square root of 4√2-2√6.​

Answer 1

The square root of the formula is
`√(2)\sqrt{2√(2)-√(6)}`

Explanation:

1. Rewrite the formula

`4√(2)-2√(6)=2(2√(2)-√(6))`.

2.Take the square root

`\sqrt{2(2√(2)-√(6))}`.

3. The root can be rewritten

`\sqrt{2(2√(2)-√(6))}=√(2)\sqrt{2√(2)-√(6)}`.