Find the possible unit's digits place of the square root of the number $784.$

1 o r 9

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2 o r 8

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4 o r 6

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3 o r 7

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Solution

The correct option is C $2 o r 8$
If the number ends with 4, then the units digit of the square root of that number may be 2 or 8. As both squares $262 = 4, 8^{2} = 64$ ends in 4.
Therefore, units digits of the square root of 784 are either 2 or 8.

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