Question

sq.rootby method of prime factorisation of 2025

Answer 1

2025=5×405
2025=5×5×81
2025=5×5×9×9

now we take two 5 and 9 once..
i.e.
$\sqrt{2025 } = 5 \times 9$
=45

Answer 2

Answer:

Square root of 2025 is 45.

Step-by-step explanation:

Square root of 2025 =√2025

             ⇒ √5 x 5 x 3 x 3 x 3 x 3

             ⇒ √( 5^2 x 3^2 x 3^2 )

             ⇒ 5 x 3 x 3

             ⇒ 45

Therefore the square root of 2025 is 45.

Or,

2025 = 5 x 5 x 3 x 3 x 3 x 3

          = 5^2 x 3^4

So,

√2025 = √( 5^2 x 3^4 )

            = 5 x 3^2

            = 5 x 9

            = 45

Therefore,

Square root of 2025 is 45.