Question

Simplify √(3 + 2√2). Simplify​

Answer 1

Answer:

$\sqrt{3 +2\sqrt{2$

$\sqrt{1+2\sqrt{2+2$

$\sqrt{1^{2} +(2*1*\sqrt{2) + (\sqrt{2)^{2}$

$\sqrt{(1+\sqrt{2^{2})$

1+$\sqrt{2$

Answer 2

Answer:

(a + b)² = a² + b² + 2ab as

√3+2√2 = √2+1+2 x 1 x √2

= 2 (√₂) ². + (1)² + 2 × 1 × √2 -2 = √(√₂+1) = √2+1

Hence the value of given expression is

√2+1