Question

Find square root of 1225 by prime factorisation method

Answer 1

Answer: 35.

Step-by-step explanation:

First, Let's do the prime factorization of 1225 :

1225 = 5×5×7×7

Now, find the square root of 1225 =√1225

                                                          = √{5×5×7×7}

                                                        =√{(5×5)×(7×7)}

                                                        =√25×√49

                                                        = 5x7

                                                        = 35

∴ √1225 = 35

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