Question

How to take out the square root of 2025 by prime factorisation?

Answer 1

By prime factorisation of 2025 we obtained the factors 3*3*3*3*5*5 so by placing bar on two terms on every number we get 3*3*5=45.

So the square root of 2025 is 45*45.

Answer 2

Answer:

45

Step-by-step explanation:

Given:- The given number is 2025.

To Find:- Square root of the number 2025 using Prime factorization method.

Solution:-

Prime Factorization is a method of finding the prime factors of the given number. It's a way of expressing the number as a product of its prime factors.

Here the given number is 2025.

Prime factorization of 2025

= 3×3 × 3×3 × 5×5

= 3² × 3² × 5²

Square of a number is when a number is multiplied to itself twice.

∴ Square root of 2025 = 3 × 3 × 5

                                      = 3 × 15

                                      = 45

Therefore, square root of 2025 is 45.

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