Question

find the smallest number which should be multiplied by 3675 to make it a perfect square.also find the square root of the new number​

Answer 1

A.T.Q,

LCM of 3675=3,5,5,7,7

since there is no pair of 3

therefore 3 must be multiplied by 3675 to get the perfect square i.e.(3675×3)=11025

and its square root=√11025=√3×3×5×5×7×7

=3×5×7

=105(ans)