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Applications of Linear Functions
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Find the closest perfect square to the radicand.
10
A perfect square is a number that can be written with an exponent of 2, where the square root is a whole number.
sqrt(a^2)=a, for any non-negative numbera
sqrt(LHS)
Calculate root
We know that sqrt(94) is somewhere between 9 and 10. In order to estimate it to the nearest whole number, we have to know which perfect square is closer. We will do this by finding the difference between 81 and 94, and 94 and 100. 81-13 ←94+6 →100 We found that 94 is closer to 100 than to 81. Therefore, sqrt(94) is closer to sqrt(100) than to sqrt(81). This means that the value of sqrt(94), to the nearest whole number, is 10.