SOLUTION: Find the product of the square root of 12b times the square root of 156

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Question 114966: Find the product of the square root of 12b times the square root of 156
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Remember the rule: sqrt%28a%29%2Asqrt%28b%29=sqrt%28ab%29


sqrt%2812b%29%2Asqrt%28156%29=sqrt%2812b%2A156%29

But before we just multiply 12 X 156, let's look at the factors of those two numbers to see if we can find some perfect square factors.

12 = 2 X 2 X 3, and
156 = 2 X 2 X 3 X 13 (you should be checking my arithmetic, by the way)
So, 12 X 156 = 2 X 2 X 2 X 2 X 3 X 3 X 13, or 16 X 9 X 13

Now we can say sqrt%2812b%2A156%29=sqrt%2816%2A9%2A13%2Ab%29=4%2A3%2Asqrt%2813b%29=12%2Asqrt%2813b%29

Hope that helps,
John