Question

find the smallest number by which 7776 is to be divided to get a perfect square​

Answer 1

Answer:

Step-by-step explanation:

Express 7776 as product of prime factors.

2 | 7776

2 | 3888

2 | 1944

2 | 972

2 | 486

3 | 243

3 | 81

3 | 27

3 | 9

• | 3

•°• 7776= 2²*2²*2*3²*3²*3

Here 2 and 3 are not squared.

so divide by 6(i.e., 2*3) to get a perfect square

°•°Required least no.= 6

verification:

7776/6= 1296 which is a perfect square.

1296= 36²

;)

Hope it helps