Maths-
General
Easy

Question

Use prime factorization method to find the square root of each of the following :
b)175

The correct answer is: 175


    Let's find the prime factorization of the number
    30625  = 5 × 6125
    = 5 × 5 × 1225
    = 5 × 5 × 5 × 245
    = 5 × 5 × 5  5 × 49
    = 5  ×5 × 5 × 5 × 7 × 7
    equals 5 to the power of 4 cross times 7 squared equals 25 squared cross times 7 squared equals left parenthesis 25 cross times 7 right parenthesis squared equals left parenthesis 175 right parenthesis squared The square root of 30625 is 175.

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