Question

find the smallest no. which when multiplied with 3600 will make product a perfect cube. further,find cube root of the product

Answer 1

smallest no that will be multiplied is 60 not any thing else and it will become 216000and cove root will be 60

Answer 2

3600 = 2*2*2*2*3*3*5*5

= (2*2*2)*(2)*(3*3)*(5*5)

so, For Making 3600 a perfect cube we need to multiply the number by (2*2*3*5) = 60

New number = 3600*60 = 216000


Cube root of 216000 = 60




Hope it helps