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Applications of Linear Functions
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Find the closest perfect square to the radicand.
8
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(61) is somewhere between 7 and 8. In order to estimate it to the nearest whole number, we have to know which perfect square is closer to 61. We will do this by finding the difference between 49 and 61, and 61 and 64. 49 -12 ⟵ 61 +3 ⟶ 64 We found that 61 is closer to 64 than to 49. Therefore, sqrt(61) is closer to sqrt(64) than to sqrt(49). This means that the value of sqrt(61), to the nearest whole number, is 8.