Check Whether the following number are perfect square or not
a) 784
Answers
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Answer:
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Step-by-step explanation:
Yes, the number 784 is a perfect square.
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OK, so now we know that 784 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 784:
1 x 7842 x 3924 x 1967 x 1128 x 9814 x 5616 x 4928 x 28
Highlighted in orange above is the factor combination that makes 784 a perfect square. Do you see why? A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.
Here's the proof: 28 x 28 = 784
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Step-by-step explanation:
Taking common factor of 784
2*2*2*2*7*7 = 784
Now
we also write
2^4*7^2 = 784
on doing sqrt we get
2^2*7
28
Hence 28 is the square root of 784