Question

find the smallest number by which 405 must be diveded so as to get a perfect square. also find the square root of the square number so obtained.​

Answer 1

Answer:

Number = 5, Square root of quotient (i.e 81) = 9

Step-by-step explanation:

To find the smallest possible number, we perform L.C.M by division method.

Doing so, helps us note down the factors of the number from 1 to the number itself.

Noting down the factors, we check whether they give perfect squares upon dividing the number with them.

1 (No)     3 (No)     5 (Yes, gives 81 as the quotient, which is the square of 9)

Therefore, 5 is the smallest number by which if we divide 405, we get a perfect square. The square root of the number obtained, i.e 81, is 9.