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

（5根号3-2根号5）^2
求过程

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

Answer 2

(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(5根号3-2根号5)^2
=(根号2-3)(2根号2+1)(3根号2)+(根号2+1)-(2根号2)-(2-根号3)(5根号3-2根号5)^2
=(6-9根号2)(2根号2+1)+1-根号2-(2-根号3)(75-20根号15+20)
=12根号2+6-36-9根号2+1-根号2-（2-根号3)(95-20根号15）
=2根号2-29-195+40根号15+95根号3-60根号5
=2根号2-224+40根号15+95根号3-60根号5