find the smallest number by which 2925 must be divided to get a perfect square . also find the square root of the perfect square so obtained
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To find this we first factories given number ,
so , 2925 = 3 × 975
= 3 × 3 × 325
= 3 × 3 × 5 × 65
= 3 × 3 × 5 × 5 × 13
= 3 ^2 × 5^2 × 13
= 15^2 × 13
so by dividing by 13 we can get 225 which is square of 15
so , 2925 = 3 × 975
= 3 × 3 × 325
= 3 × 3 × 5 × 65
= 3 × 3 × 5 × 5 × 13
= 3 ^2 × 5^2 × 13
= 15^2 × 13
so by dividing by 13 we can get 225 which is square of 15
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