Solving Multi-Step Equations with Radicals Lesson

5 Slides • 3 Questions

Solving Radical Equations

What is a Radical?

Radical is a term used for a square root symbol

An important note....

Always check your answers using a graph when working with radicals. Sometimes you get an answer algebraically that is not in the DOMAIN of the function. These are called extraneous solutions.

Steps to Solve a Radical Equation

Isolate the radical. This means move anything outside the radical to the other side of the equation by performing opposite operations.
Square both sides
Solve whatever is left. This will always involve what was originally underneath the radical
Check in Desmos

Multiple Choice

$6=\sqrt{8-4n}$

-7 and 7

-7

-7 and -5

Multiple Choice

$\sqrt{\frac{x}{9}}=\sqrt{80-x}$

72 and -7

Multiple Choice

$x-2=\sqrt{5x-14}$

-8

8 and -8

6 and 3

-8 and 6

Solving Radical Equations

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