Question

The value of \sqrt{3 + 2 \sqrt{2} } - \sqrt{3 - 2 \sqrt{2} } is​

Answer 1

Hello,

square root of 3+2√2 is equal to 1+√2.

Because (1+√2)² is equal to 3+2√2.

Square root of 3-2√2 will be √2 - 1.

Because the positive value is √2 - 1.

Therefore, (1+√2)-(√2 - 1)=2.