Question

give reasons to show that none of the numbers given below is a perfect square 5372
$\sqrt{456}$
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Answer 1

Explanation:

Give reasons to show that none of the numbers given below is a perfect square: 5372 , √456

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• 5372- this number is ending with 2, co can't be a perfect square

Perfect squares end with: 1^2=1, 2^2=4, 3^2=9, 4^2=6, 5^2=5, 6^2=6, 7^2=9, 8^2=4, 9^2=1

• √456=√4*114=2√2*3*19 - this number is divisible by 4 but not divisible by 16, also is factorized as single primes under root, so can't be a perfect square

Answer 2

Answer:

Explanation:

5372 .

Last no should no be = > 2 , 3 , 7 or 8 to be a perfect square .

It is not a perfect square .