Question

Find the square root of 625 by prime factorisation method

Answer 1

Given: The number 625

To find: The square root of 625 by prime factorisation method

Solution:

• Now we have given the number 625.

• By prime factorisation, we get:

                      5 | 625

                      5 | 125

                      5 | 25

                      5 | 5

                         | 1

• So the prime factors are:

                      √625 = √5 x 5 x 5 x 5

                      √625 = √25 x 25

                      √625 = 25

Answer:

          So the square root of 625 by prime factorisation method is 25.

Answer 2

Answer:

25

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