Question

If x=5-2√6, find the value of√x+1/√x​

Answer 1

Answer:

2√3.

Step-by-step ex

Let : x = 5 + 2√6.

Then : x = 3 + 2 + 2√((3)(2))

∴ x = (√3)² + (√2)² + 2(√3)(√2) = (√3 + √2)²

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

1/(√x) = 1/(√3 + √2) = √3 - √2 ....................... (2

∴ (√x) + (1/√x) = 2√3........................................ Ans,