CBSE Class 8 Answered
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 | 04 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 | 04 Jun, 2014, 03:23: PM
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