Question

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

Answer 1

Answer:

the value of (√x-1/√x)^3 is 8.

Step-by-step explanation:

Given :

If x=3+2√2

To find :

the value of (√x-1/√x)^3

Solution :

= (√x-1/√x)^3

=[√(3+2√2) -1/√(3+2√2) ]^3

As √(3+2√2) = √2+1

Thus we get,

=[(√2+1 ) -1/(√2+1 ) ]^3

=[(√2+1 ) -(√2-1) ]^3

=[√2+1 -√2+1 ) ]^3

=[+1 +1 ) ]^3

=2^3

=8

And : Hence, the value of

(√x-1/√x)^3 is 8.