Question

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

(i) 441​

Answer 1

$\large\red{\underline{\boxed{\textbf{Brainliest\:Please}}}}$

$\green{\textbf{\underline{\underline{Given :-}}}}$

441, A perfect square can always be expressed as a product of pairs of equal factors.Now resolve 441 into prime factors, we get441 = 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.

$\large\red{\underline{\boxed{\textbf{ Thanks\:For\:Ansking}}}}$

Answer 2

Answer:

1. √441 =

{21}^{2}

2. √567 = not the perfect square

3.√11025 =

{105}^{2}

4. √1176= not a perfect square

5.√5625=

{75}^{2}

6.√9075 = not a perfect square