Exercise 24 Page 15

When comparing numbers, it is best to first ensure that they are as similar as possible. In this exercise, we are given a negative integer and a negative root. -4, -sqrt(4)To compare the given values, let's rewrite -sqrt(4) as an integer. Since 4 is a perfect square, we can calculate the exact value of its square root.

-sqrt(4)

SplitIntoFactors

Split into factors

-sqrt(2*2)

ProdToPowTwoFac

a* a=a^2

-sqrt(2^2)

SqrtPowToNumber

sqrt(a^2)=a

-2

We found that -sqrt(4)=-2, which is greater than -4. -4 < -2 ⇕ -4 < -sqrt(4)