Question

Find the smallest number by which 27783 so that it becomes a perfect square​

Answer 1

Answer = 7

Step-by-step explanation:

1. Find the prime factorization which is =

3×3×3×3×7×7×7

2. Try making pairs .

We find the pairs as:(3×3)×(3×3)×(7×7)×7

3.We see that 7 is left alone and thus, 27783 must be divided by 7 so that the new no.(3969) is a perfect square .

Answer 2

Step-by-step explanation:

277 is the smallest number that is to be subtracted from 27783.

i.e., 27783-27556. [(166)²]

=>277.