Question

Find out the least number which
when multiplied by 45, the result
becomes a perfect square.

Answer 1

Answer:

5

Step-by-step explanation:

45 = 3×3×5 = 3²×5

So if I multiply with 5, it become a perfect square.

45×5 = 225 = 15²

Answer 2

Long division method

Step-by-step explanation:

First we have to find out the factors of 45 by the long division method

The factors are $1\times 3\times 3\times 5$

only 5 is the least number by which we can multiply and can make 45 a perfect square

$1\times 3\times 3\times 5\times 5= 225$

225 is a perfect square of 15.