Question

What is the square root of `3-2sqrt2`?

Answer 1

`sqrt(3-2sqrt2)=sqrt2-1`

Explanation:

`3-2sqrt2`

= `2-2sqrt2+1`

= `(sqrt2)^2-2xxsqrt2xx1+1^2`

= `(sqrt2-1)^2`

Hence `sqrt(3-2sqrt2)=sqrt2-1`