Question

If x = 3+2√2 then find the value of x^1/2 - x^-1/2​

Answer 1

Answer:

2

Step-by-step explanation:

x=3+2√2

x=(1+√2)²

√x-1/√x

√(1+√2)²-1/√(1+√2)²

(1+√2)-1/(1+√2)

{(1+√2)²-1}/(1+√2)

(3+2√2-1)/(1+√2)

(2+2√2)/(1+√2)

2(1+√2)/(1+√2)

=2 Ans