Question

Find the smallest number by which 3645 must be multiplied to get a perfect square.
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Answer 1

Given number is 3645

Jot down the prime factors of 3645

3645=5*3*3*3*3*3*3

Organising the prime factors into pairs

3645=(3*3)(3*3)(3*3)*5

We observe that only 5 doesnt exist in pair

So,the smallest number that should be divided from 3645 to make it a perfect square is 5

3645÷5= 729

Thus the resulting number is 729

√729=27

There fore , 27 is the square root of resulting number 729

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Answer 2

Answer:

We will find the prime factors of 3645

3645 => 3 × 3 × 3 × 3 × 3 × 3 × 5

Here, 5 is not in pair.

5 should be multiplied to 3645

Check :-

3645 × 5 = 18225

Square root of 18225 is 135

Hence, proved.

Step-by-step explanation:

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