Find the square root of the following numbers by prime factorization method (1)121 (2)225

Answers (1)

1:)Taking  L.C.M. of 121 
 11midunderline121
           11
So we write the factors as 11*11. And we get the pair as overline11*11.
Now we take one factor of the pair ,i.e 11
So we get the square root of 121 as 11
2:)Taking L.C.M. of 225,we get
3|underline225
3|underline75
5|underline25
    5
So the factors are,3*3*5*5.
Now pairing them,we'll get,overline3*3*overline5*5.
Taking one factor out of each pair we get 3*5
Now the final product is 15 which is also the square root of 225

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