Question

（根号2-3）（2根号2+1） （根号18）+（2/根号2-1）-（4根号1/2）-根号（根号3-2）^2

Answer 1

(√2-3)(2√2+1)

= 8-6√2+√2-3

= 5-5√2

√18 + 2/(√2-1)-4√(1/2) - (√3-2)²

= 3√2 + 2(√2+1)/(2-1) - (3-4√2+2)

= 3√2 + 2√2+2 - 5 + 4√2

= 9√2 - 5

(5√3-2√5)²

= 75-20√15+20

= 95-20√5