Question

find the smallest number by which 23805 must be multiplied so that the product is a perfect square.​

Answer 1

Answer:

23805 = (3 x 3) x (23 x 23) x 5

23805 must be multiplied is 5.

Answer 2

Answer:

Firstly we do prime factorisation of 23805

after prime factorisation we get:

3×3×23×23×5

we saw 3 & 23 are in pairs but 5 is not in pair

to make 23805 a perfect square we would multiply 5 in it.

then we get : 23805×5 = 119025

which is a perfect square.

√119085 = 345 .