Maths-
General
Easy

Question

Use prime factorization method to find the square root of each of the following :
a)11025

The correct answer is: 105


    Explanation :-
    a) Let's find the prime factorization of the  number.
    11025  =3 × 3675
    = 3 × 3 × 1225
    = 3 × 3 × 5*245
    = 3 × 3 × 5 × 5 × 49
    = 3 × 3 × 5 × 5 × 7 × 7
    3 squared cross times 5 squared cross times 7 squared equals left parenthesis 3 cross times 5 cross times 7 right parenthesis squared equals left parenthesis 105 right parenthesis squared
    The square root of 11236 is 105.

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