Simplifying Radical

Expressions

Simplifying Radical Expressions

Steps1. Isolate the radical on One side of the equation2.Square each side to eliminate The radical -simplify-set equal to zero3.Check your answer

Example3+m =13-3 -3m =10

m²=(10)² m=100

3+ 100 =133+10=1313=13

3+Square root of m =13

How to solve the problem

Professions•Racing

Physics

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 radicalsWith variables in the radicand.

Simplest Radical Form: A radical expression is in the simplest radical form when the following three conditions have been met.1. No radicands have perfect square factors other then one2. No radicands contain fractions3. No radicals appear in the denominator of the fraction.

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.

Real Life Example

(Oceanography)Example: 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 = 3.1d, 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.

Real Life Example(Oceanography)

322 = 3.1 d Replaces s with 322322 = 3.1 d Divide each side by 3.13.1 3.1(322)² = (d)² Square each side of the 3.1 equation(322)² = d Use a Scientific Calculator3.1 to simplify (322)²

3.1Enter: ( 322 divided by 3.1 ) x² = 10789.17794 The depth of the Tonga Trench is approximately 10,789 meters. Check this result by substituting 10,789 for d into the original Formula.

THAT’S ALL FOLKS

By Melinda and Emma