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docker41 [41]
3 years ago
6

Is 2352 a perfect square? If not, find the smallest multiple of 2352 which is a perfect square. Find the square root of the new

number.
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0
One way of doing this is to use prime factorization.

2352 = 3 x 4 x 4 x 7 x 7

Looking at the above numbers, we see that if there was another 3 factor, it would be a perfect square.

So if our number was 3 x 3 x 4 x 4 x 7 x 7, it would be a perfect square.

That number multiplies out to be 7056.  The square root of this number would be 3 x 4 x 7 = 84.  Yay!
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