SOLUTION: WHAT is the answer? square root of 32 times the square root of 144.

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Question 73887: WHAT is the answer? square root of 32 times the square root of 144.
Found 2 solutions by checkley75, Edwin McCravy:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
SQRT32*SQRT144
4SQRT2*12
48SQRT2
48*1.414
67.88 ANSWER.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

WHAT is the answer? square root of 32 times the square root of 144

sqrt%2832%29sqrt%28144%29

Break 32 and 144 down into prime factors

32+=+8%2A4+=+%284%2A2%29%282%2A2%29+=+%282%2A2%2A2%29%282%2A2%29+=+2%2A2%2A2%2A2%2A2



So rewrite the problem as

++sqrt%282%2A2%2A2%2A2%2A2%29%2Asqrt%282%2A2%2A2%2A2%2A3%2A3%29++

Write all as one square root:

++sqrt%28%282%2A2%2A2%2A2%2A2%29%282%2A2%2A2%2A2%2A3%2A3%29%29++

sqrt%282%2A2%2A2%2A2%2A2%2A2%2A2%2A2%2A2%2A3%2A3%29

Now pair up like factors which can be paired:

sqrt%28%282%2A2%29%2A%282%2A2%29%2A%282%2A2%29%2A%282%2A2%29%2A2%2A%283%2A3%29%29

Write each pair of like factors as the square
of the factor

sqrt%28%282%5E2%29%2A%282%5E2%29%2A%282%5E2%29%2A%282%5E2%29%2A2%2A%283%5E2%29%29

Now take individual square roots:



Now use the fact that the square root of the square of
a non-negative number is the non-negative number. 



Edwin