Question

Упростите выражение
1. 2√2-√18+√3
2. √5+√10-√20
3. √8-3√2+√6

Answer 1

$1)2 sqrt{2}- sqrt{18}+ sqrt{3}= 2 sqrt{2}- sqrt{3^{2}*2 }+ sqrt{3}=2 sqrt{2}- 3sqrt{2}+ sqrt{3}= \ = sqrt{3}- sqrt{2} \ \ 2) sqrt{5}+ sqrt{10}- sqrt{20}= sqrt{5}+ sqrt{10}- sqrt{ 2^{2}*5 }= sqrt{5}+ sqrt{10}-2 sqrt{5}= \ =sqrt{10}- sqrt{5} \ \ 3) sqrt{8}-3 sqrt{2}+ sqrt{6}= sqrt{ 2^{2}*2 }-3 sqrt{2}+ sqrt{6}=2 sqrt{2}-3 sqrt{2}+ sqrt{6}= \ = sqrt{6}- sqrt{2}$

Answer 2

1)2√2-18+√3=2√2-3√2+√3=√3-√2
2)√5+√10-√20=√5+√10-2√5=√10-√√5
3)√8-3√2+√6=2√2-3√2+√6=√6-√2