Question

What is the following product?

StartRoot 12 EndRoot times StartRoot 18 EndRoot

Answer 1

D

Explanation:

answer above

Answer 2

6√6

Explanation:

The product of roots is the root of the product. Here, each root can be simplified by factoring out perfect squares.

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`√(12)*√(18)=√(2^2\cdot3)*√(3^2\cdot2)=2√(3)*3√(2)\\\\=(2\cdot3)√(3\cdot2)=\boxed{6√(6)}`