Exercise 23 Page 15

When comparing numbers, it is best to first ensure that they are as similar as possible. 16, sqrt(16)To compare the given values, let's rewrite sqrt(16) as an integer. Since 16 is a perfect square, we can calculate the exact value of its square root.

sqrt(16)

SplitIntoFactors

Split into factors

sqrt(4*4)

ProdToPowTwoFac

a* a=a^2

sqrt(4^2)

SqrtPowToNumber

sqrt(a^2)=a

4

We found that sqrt(16)=4, which is less than 16. 16 > 4 ⇕ 16 > sqrt(16)