Week 3- Absolute Value of a Real Number

In the third week of Precalc, we have learned about absolute value of a real number and how any real number can be represented on a number line. We have also learned about Roots and Radicals and how to simplify them.

Example: (if the radicand is negative in the l l it should become positive once you square rooted it)

l7+2l (3-8) + (-6) (4-1)

l9l (-5) + (-18)

9(-5) + (-18)

-45 + (-18)

= -63

Example: Simplify

5 \sqrt [2]{80}

5\sqrt{4\cdot20}

5 \sqrt [2]{4\cdot4\cdot5}

5\cdot4 \sqrt{5}

(how we got 4 in 5×4 outside of the square root is that 4×4 inside the squared root is 16 and if we square root 16 it will be 4 and then we move the number 4 outside and times it with 5)

= 20 \sqrt [2]{5}

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