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Question

What must be subtracted from 1729 to get a perfect square?


A

78

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B

48

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C

58

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D

68

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Solution

The correct option is B

48


Given number: 1729By grouping the given number, we get ¯¯¯¯¯¯17 ¯¯¯¯¯¯29.

Applying the long division method:
414¯¯¯¯¯¯17 ¯¯¯¯¯¯2916 81 129 81 48

Here, the remainder is 48.
Hence, (1729 - 48) will be a perfect square.

So, 48 must be subtracted from 1729 to get a perfect square.


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