（1）√24x√27=√4x3x2x9x3=√2²x9²x2=18√2(2)√6x(-√15)=-√3x2x3x5=-√3²x2x5=-3√10(3)√3²x4³x5=12√20=12√2²x5=24√5(4)√8x√12=√4x2x4x3=√4²x2x3=4√6(5)2√50x3√32=6√5x5x2x4x4x2=6√5

Question

（1）√24x√27
=√4x3x2x9x3
=√2²x9²x2
=18√2
(2)√6x(-√15)
=-√3x2x3x5
=-√3²x2x5
=-3√10
(3)√3²x4³x5
=12√20
=12√2²x5
=24√5
(4)√8x√12
=√4x2x4x3
=√4²x2x3
=4√6
(5)2√50x3√32
=6√5x5x2x4x4x2
=6√5²x2²x4²
=240
（6）√18x√20x√75
=√3x3x3x2x2x2x5x5
=√3²x2²x5²x3x2
=30√6
下面这题不会做
（1）√242（化简）

Answer 1

√242
=√（11²×2）
=11√2