Question

Show that each of the following number is a perfect square.Also find the square root of each.8281

Answer 1

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Answer 2

8281 is a perfect square. It can be proved by the following methods:

1. Factorise it : After factorising it or in simple words, after doing prime factorisation, you will find that 8281 = 7x7x13x13. Since it can be expressed as the products of pairs of equal factors. Here, 7 and 13 have one pair each. Therefore 8281 is a perfect square.
2. Apply long-division method: After applying long division method, if you get a whole number, the original number is a perfect square. e.g. After applying long division method of 8281, you will get 91 as its square root. As you know that 91 is a whole number, therefore 8281 is also a whole number.

Hope it helps!