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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
Answer
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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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