Question

Find the smallest number by which 2925 must be divided so as a perfect square.
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Answer 1

Answer:

3 | 2925

3 | 975

5 | 325

5 | 65

| 13.

2925÷13=225

√225=3×5=15Ans.

So,the smallest number by which 2925 must be divided so as a perfect square is 15.

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Answer 2

Answer:

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Find the smallest number by which 2925 must be divided so as a perfect square.

${\huge{\underline{\underline{\sf{\blue{Solution :-}}}}}}$

Resolving 2925 into prime factors , we get 2925 = 3 × 3 × 5 × 5 × 13

Grouping the factors into pairs of equal factors, we get

2925 = 2 × 2 × 5 × 5 × 13

On pairing equal factors , 13 is left out .

In order to get a perfect square , each factor of 2925 must be paired .

Therefore ,

2925 should be divided by 13 so that the quotient becomes a perfect square .

Thus ,

The required smallest number is 13 .