Question

What is the product of three square root of eight times four square root of three? Simplify your answer.

Answer 1

Please help anybody!

Answer 2

Is the problem
\[3\sqrt{8} * 4\sqrt{3}\]?

Answer 3

Remember that multiplication is commutative, so we can rearrange the order without any problem.

\[3\sqrt{8}*4\sqrt{3} = 3*4*\sqrt{8}*\sqrt{3} = 12*\sqrt{8}*\sqrt{3}\]
One of the properties of square roots is that \[\sqrt{a}*\sqrt{b} = \sqrt{a*b}\]
Can you use that property to convert \[12*\sqrt{8}*\sqrt{3}\]into something equivalent but with only one square root sign?