Question

if x = 3+2√2 find √x + 1/√x

Answer 1

Answer:

Step-by-step explanation:

. x = 3 + 2√2 = 2 + 1 + 2√2 = (√2)² + 1² + 2(√2)(1) = (√2 + 1)²  

∴ √x = √2 + 1 ................................. (1)  

∴ 1/√x = 1/(√2 + 1) = [1/(√2 + 1)]·[(√2 - 1)/(√2 - 1)] = (√2 - 1)/(1) = √2 - 1 ... (2)  

∴ from (1) and (2),  

√x - (1/√x) = (√2 + 1) - (√2 - 1) = 2 ................. Ans.: b)2