Question

Question in picture. Please answer quickly

Answer 1

Answer:
`(2√(2)-1 )/(2)`

Explanation:

1. multiply both the numerator and denominator by
`2√(2)`

2. distribute on the top to get
`8√(2) - 4` (
`√(2) *√(2)` equals 2)

3. multiply the bottom to get 8

4. after getting
`(8√(2)-4 )/(8)`, factor out a 4 from each term to get
`(4(2√(2)-1))/(4(2))`

5. the fours will cancel and the answer will be
`(2√(2)-1 )/(2)`