Is the number 2048 a perfect square? If not, then by which number it must be multiplied so as to get a perfect square.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

We find the prime factors of 2048.

2

2048

2

1024

2

512

2

256

2

128

2

64

2

32

2

16

2

8

2

4

2

2

1

 

If 2 gets a pair, then the number will becomes a perfect square. Thus by multiplying the number by 2, we get a perfect square.

2048 x 2 = 4096 is a perfect square.

Hence, the required number which is to be multiplied with 2048 to get a perfect square is 2.

Answered by  | 4th Jun, 2014, 03:23: PM