1. Simplifying Radical Expressions

2. How to solve the problem
Simplifying Radical Expressions
How to solve the problem
Steps
1. Isolate the radical on
One side of the equation
2.Square each side to eliminate
The radical
-simplify
-set equal to zero
3.Check your answer
3+Square root of m =13
Example
3+m =13
m =10
 m²=(10)²
m=100
3+ 100 =13
3+10=13
13=13

3. Professions
Racing Physics

4. Explanation Of Your Topic (What you will learn from simplifying radical expressions.)
To simplify square roots
To simplify radical expressions
Simplifying radical expressions are Equations that contain radicals
With variables in the radicand.
Simplest Radical Form: A radical expression is in the simplest
radical form when the following three conditions have been met.
No radicands have perfect square factors other then one
No radicands contain fractions
No radicals appear in the denominator of the fraction.

5. Why is it Important to Algebra?
Simplifying Radical Expressions are important
to algebra because you can use radical expressions
to solve problems involving physics and racing.

6. Real Life Example (Oceanography)
The Tonga Trench in the Pacific Ocean is a Potential Source for a
Tsunami, a large ocean wave generated by an undersea earthquake. The
Formula for a Tsunami’s speed s in meters per second is s = 3.1d, where d
is the depth of the ocean in meters.
Equations like s = 3.1 d that contain radicals with
Variables in the radicand are called radical equations. To solve these
Equations, first isolate the radical on one side of the equation. Then square
Each side of the equation to eliminate the radical.
Find the depth of the Tonga Trench if a Tsunami’s speed is 322
Meters per second.

7. Real Life Example (Oceanography)
322 = 3.1 d Replaces s with 322
322 = 3.1 d Divide each side by 3.1
(322)² = (d)² Square each side of the
equation
(322)² = d Use a Scientific Calculator
to simplify (322)²
3.1
Enter: ( divided by ) x² =
The depth of the Tonga Trench is approximately 10,789 meters.
Check this result by substituting 10,789 for d into the original
Formula.

8. THAT’S ALL FOLKS By Melinda and Emma