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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

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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