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Applications of Linear Functions
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Definitions of Geometric Objects
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Find the closest perfect square to the radicand.
12
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(148) is somewhere between 12 and 13. 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 144 and 148, and 148 and 169. 144-4 ←148+21 →169 We found that 148 is closer to 144 than to 169. Therefore, sqrt(148) is closer to sqrt(144) than to sqrt(169). This means that the value of sqrt(148), to the nearest whole number, is 12.