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Explain Bot To estimate the value of the square root of eight, we can use two square roots that surround eight. By "surrounding," I mean two consecutive perfect squares between which eight falls.
The perfect square immediately before eight is four (which is 2^2), and the perfect square immediately after eight is nine (which is 3^2).
We can estimate the square root of eight by taking the average of the square roots of four and nine.
The square root of four is two, and the square root of nine is three.
Average of two and three = (2 + 3) / 2 = 5 / 2 = 2.5
Therefore, the estimated square root of eight is 2.5.