The digit in the unit's place in the square r | vedclass

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(C) To find the unit's digit of the square root of $15876$,we observe the unit's digit of the number itself,which is $6$.If a perfect square ends in $

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$6$

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(C) To find the unit's digit of the square root of $15876$,we observe the unit's digit of the number itself,which is $6$.If a perfect square ends in $6$,its square root must end in either $4$ or $6$ (since $4^2 = 16$ and $6^2 = 36$).We can estimate the square root: $100^2 = 10000$ and $200^2 = 40000$.Since $15876$ is between $100^2$ and $200^2$,the square root is between $100$ and $200$.Checking $120^2 = 14400$ and $130^2 = 16900$.Since $15876$ is between $14400$ and $16900$,the square root is between $120$ and $130$.The possible values are $124$ or $126$.Calculating $126^2 = 15876$.Therefore,the unit's digit is $6$.

The digit in the unit's place in the square root of $15876$ is

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