Question

simplify [√5+√7] 2 whole square​

Answer 1

• a² + b² + 2ab = (a+b)²
• (√5)² + (√7)² + 2(√5)(√7) = 5 + 7 + 2√35
• = 12 + 2√35

Answer 2

12 + 2√35

Step-by-step explanation:

Given -

Simplify (√5 + √7)²

Solution -

(√5 + √7)²

=> (√5)² + 2(√5)(√7) + (√7)²

[by the formula (a + b)² = a² + 2ab + b², here a = √5, b = √7]

=> √5² + (2×√5×√7) + √7²

=> 5 + 2√35 + 7

=> 5+7 + 2√35

=> 12 + 2√35

Hence [√5 + √7] = 12 + 2√35

hope it helps.