Question

find square root of 225 by prime factor method​

Answer 1

Step-by-step explanation:

Answer

Given 225 A square can always be expressed as a product of pairs of equal factors.

Resolve the given number into prime factors.

We get 225 = 3 × 3 × 5 × 5.

√225 = 3 × 5 = 15.

Answer 2

Answer:

Square root of 225

to get the prime factorisation of 225 we divide it by its smallest prime factor which is 3

when we divide 225 by 3 we get = 75

now divide 75 by its smallest factor which is 3

when we divide 75 by 3 we get = 25

this progress gone on till we get the quotient as 1

so now divide 25 by its smallest prime factor which is 5

when we divide 25 by 5 we get = 5

and the smallest prime factor of 5 is = 5

when we divide 5 by 5 we get = 1

$225 = {3}^{2} \: \times {5}^{2}$

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