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Alex787 [66]
3 years ago
7

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

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.


First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

3\sqrt{8}*4\sqrt{6}
3*4*\sqrt{8}*\sqrt{3}

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

3*4*\sqrt{(2*2*2)}*\sqrt{3}
3*4*\sqrt{4*2}*\sqrt{3}

Multiply the square roots together:
3*4*\sqrt{(4*2*3)}
3*4*\sqrt{(4*6)}

Now take out the square-root of 4 and simplify
3*4*\sqrt{4}*\sqrt{6}
3*4*(2)*\sqrt{6}
24\sqrt{6}

Thus,\ your\ answer\ is\ 24\sqrt{6}
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