Question

(√5 +√2)2 – (√8 -√3)2

Answer 1

Answer:

2(√10 + 2√6 - 2)

Step-by-step explanation:

Given : (√5 + √2)² - (√8 - √3)²

Identity : (a + b)² = a² + b² + 2ab

(a - b)² = a² + b² - 2ab

→ [ (√5)² + (√2)² + 2(√5)(√2) ] - [ (√8)² + (√3)² - 2(√8)(√3) ]

→[ 5 + 2 + 2√10 ] - [ 8 + 3 - 4√6 ]

→ [ 7 + 2√10 ] - [ 11 - 4√6 ]

→ 7 + 2√10 - 11 + 4√6

→ - 4 + 2√10 + 4√6

→ 2(√10 + 2√6 - 2)