Yalette A.
asked • 04/01/20Square root of 65 how to solve for it?
sqrt(65) = sqrt(64 +1) = 8 sqrt(1 + 1/64)
The Maclaurin series expansion of sqrt(1 +x) is 1 + (1/2) x + O(x2)
Thus to a pretty good approximation
sqrt(65) = 8( 1 + 1/128) = 8.0625
This agrees with the exact calculator result to better than a part in 10 000.
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