8. Simplifying Radicals
Notice that these properties can be used to combine
quantities under the radical symbol or separate them
for the purpose of simplifying square-root expressions.
Separate
Combine
10. Simplify each expression.
Quotient Property of Square RootsD.
Quotient Property of Square RootsC.
Now, Solve ‘D’ above with the numerator and
denominator as separate radicals.
Simplify numerator first Rationalize the denominator
11. Simplify each expression.
A.
B.
Find a perfect square factor of 48.
Product Property of Square Roots
Quotient Property of Square Roots
Simplify.
Simplifying Radicals
13. If a fraction has a denominator that is a square root,
you can simplify it by rationalizing the denominator.
To do this, multiply both the numerator and
denominator by a number that produces a perfect
square under the radical sign in the denominator.
Multiply by a form of 1.
Simplifying Radicals
16. Square roots that have the same radicand are called
like radical terms.
To add or subtract square roots, first simplify each radical term
and then combine like radical terms by adding or subtracting
their coefficients.
Adding & Subtracting Radicals
19. Application
A stadium has a square poster of a football player
hung from the outside wall. The poster has an area of
12,544 ft2. What is the width of the poster?
x2 = 12,544
The formula for area of a square?
112 feet wide
3
20. Class Work: 4.5
Show all work, submit before end of class
1. Simplify
Simplify each expression.
2. 3. 4.
5. 6. 7. 8.
