Verified answer

task/29611251

√(10 - 2√21) =√(7 - 2√7*√3 +3) =√(√7 - √3 )² = √7 - √3 .

√(6 - 2√5) =√(5 - 2√5*1 +1) =√(√5 - 1 )² = √5 - 1 .

√(9 -√32)= √(9 -√(16*2)) =√(8-4√2 +1) =√(8 - 2*2√2*1 +1)=√[(2√2 -1)²= 2√2 -1.

√(3+√8) -√(3-√8) =√(2+2√2*1 +1) -√(2-2√2*1 +1)=√(√2 +1)² - √(√2 -1)² =

(√2 +1) -(√2 -1)  = √2 +1 - √2 +1  = 2.

I hope this helps you