Question

Simplify the expression: (2√ 27 ) ⋅ (3√ 32 )

Answer 1

Remember
√(ab)=(√a)(√b)
so

simmlify each

2√27=2√(9*3)=2(√9)(√3)=2(3)(√3)=6√3
3√32=3√(16*2)=3(√16)(√2)=3(4)(√2)=12√2

so
(2√27)(3√32)=(6√3)(12√2)=(6)(√3)(√12)(√2)=(6)(12)(√3)(√2)=72√6



de answer is 72√6

Answer 2

(2 sqrt27)*(3 sqrt32)
={2 sqrt(9*3)}*{3 sqrt(16*2)}
=(6sqrt3)*(12sqrt2)
=72 sqrt6



Hope this helps