Question

Find the smallest number by which 1323 must be divided to make them a perfect square and hence find their cube root.

Answer 1

Solution -: We have the number 1323

1st we will find the prime factors of 1323 we get
1323 = 3*3*3*7*7
So we see that 3 is in triplet by 7 is not so we need a 7 which when multiply with 1323 will make it perfect cube

So we get 1323 * 7=9261

Lets find for cube root of 9261

9261= 3*3*3*7*7*7 it is clear that 3 and 7 both are in triplets

It means cube root of 9261 = 3*7 = 21

So answer for 2nd part is 21

We have two answers 1st part will be 7 and second answer is 21