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

Name: Find the square root of the following numbers by prime factorization method (1)121 (2)225
Uploaded: Mon, 2021-05-24 14:53
Description: Find the square root of the following numbers by prime factorization method (1)121 (2)225

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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