Question

if x= 3-2√2 find the value of √x+1/√x​

Answer 1

Answer:

-2√2

Step-by-step explanation:

x=3-2√2

we know that

(a-b)²=a²+b²+2ab

so 3 - 2√2 =  (1)² + (√2)² -  2×1×√2 =  (1-√2)²

so √x =  1-√2

1 / √x=  1 / 1-√2 = -(1+√2) (by rationalisation)

√x + 1/√x   = 1 -√2 -1-√2 =  -2√2

ans:  -2√2

hope it helps you:)))))))