Question

find the smallest number by which3645 must be divided so that it becomes a perfect square​

Answer 1

Given:

3645 must be divided so that it becomes a perfect square.

To Find:

Find the smallest number

Solution:

3645 is a number which is divided when it becomes a perfect square so we are said to find smallest number.Firstly factorize 3645 and after factorize we will find a number which is not a common pair and which is uncommon pair that is a perfect square.So let's find

Now factorize number 3645

3645 = 3×3×3×3×3×3×5

So here we can see 5 has no pair so 5 is a perfect square.

Let's verify !

As we are given 3645 is a number and we are said that is it a perfect square or not if not then find the perfect square number.

After dividing by 5 number is = 3 × 3 × 3× 3× 3×3 = 729

√729 = 3 × 3 × 3 = 27.

Hence, verified

Answer 2

by 5 to have a perfect square. if we will divide it by 5 we will obtain the sq. of 27(729).