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leva [86]
3 years ago
5

Prime factoring | Example answer: 12=2x2x3 if it is prime, use the factors 1 and itself, example: 13=1x13

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0
32 = 2x2x2x2x2

99 = 11x3x3

100 = 5x5x2x2

400 = 2x2x2x2x5x5

39 = 3x13

35 = 5x7

80 = 2x2x2x2x5

42 = 2x3x7

5 = 1x5

78 = 2x3x13
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Oduvanchick [21]

Answer:  18\sqrt{2}\\\\

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: \sqrt{A}*\sqrt{B} = \sqrt{A*B}

So we could have this as our steps:

3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\

Therefore, 3\sqrt{12}*\sqrt{6} = 18\sqrt{2}

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

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DENIUS [597]

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Jlenok [28]

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Step-by-step explanation:

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Hope it helped!

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