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Random Interesting Patterns Followed by Square Numbers

Is 441 a pe...

Question

Is $441$ a perfect square?

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Solution

Resolve $441$ in to prime factors.

$441 = 3 \times 3 \times 7 \times 7 = {(3 \times 7)}^{2}$

$∴ 441$ is a perfect square.

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Q. Determine whether

441

is a perfect square using prime factorization.

Question 2 (iv)
Without doing any calculation, find the numbers which are surely not perfect squares:
441

Q. Without doing any calculation, find the numbers which are surely not perfect squares:

153

257

408

441

Without doing calculation, find the numbers which are surely not perfect squares.
(i) $153$
(ii) $257$
(iii) $408$
(iv) $441$

Q. Without doing any calculation find the numbers which are not perfect squares.
(i) 153 (ii) 257 (iii) 408 (iv) 441

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