Question

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1. Using the prime factorization method,
find which of the following numbers are
perfect squares:

(iii) 441
​

Answer 1

Answer:

This is the square of 21

Step-by-step explanation:

It is divisible by 3

As 4+4+1

9

Answer 2

Answer:

(21)2

Step-by-step explanation:

Given 441, A perfect square can always be expressed as a product of pairs of equal factors.

Now resolve 441 into prime factors,

we get 441 = 49 X 9

= 7 X 7 X 3 X 3

= 7 X 3 X 7 X 3

= 21 X 21

= (21)2

Hence, 21 is the number whose square is 441

∴ 441 is a perfect square.