Question

化简1(.a-b)/(√a+√b)

Answer 1

1(.a-b)/(√a+√b)

=(√a+√b)(√a-√b))/(√a+√b)

=√a-√b

2.(3+√3+√6)/(2+√2+√6)

=√3(√3+1+√2)/[√2(√2+1+√3)]

=√3/√2

=√3*√2/(√2*√2)

=√6/2

3.(5+√6+√10+√15)/(√5+√2)

=(5+√10+√6+√15)/(√5+√2)

=[√5(√5+√2)+√3(√2+√5)]/(√5+√2)

=[(√5+√3)(√2+√5)]/(√5+√2)

=√5+√3