Question

If x=1-√2 then find √x+1/√x

Answer 1

Answer:

the answer is √(2 - 2√2 )

Step-by-step explanation:

we have to find the value of

√x + 1/√x

now squaring the above equation

we have

x + 1/x + 2 = (√x + 1/√x)²

so taking LHS

( 1 - √2) + 1/(1-√2) + 2

1 - √2 + (1+√2)/( 1 - 2 ) + 2

1 - √2 - 1 - √2 + 2

2 - 2√2 = ( √x + 1/√x )²

therefore

√x + 1/√x = √( 2 - 2√2)