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Determination of Significant Digits in a Number

Find the poss...

Question

Find the possible unit's place digits of the square root of the number $324.$

A

1 o r 9

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B

2 o r 8

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C

4 o r 6

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D

3 o r 7

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Solution

The correct option is B $2 o r 8$
If the number ends with 4, then the units digit of the square root of that number may be 2 or 8. (as $2^{2} = 4, 8^{2} = 64)$
Therefore, units digits of the square root of 324 are either 2 or 8.

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