Solving Radical Equations

Solving Radical Equations

Student Outcomes

• Students develop facility in solving radical equations.

New York State Common Core Math Algebra II, Module 1, Lesson 29

Worksheets for Algebra 2

Classwork

Example 1

Solve the equation 6 = 𝑥 + √𝑥.

Exercises 1–4

Solve.

1. 3𝑥 = 1+ 2√𝑥
2. 3 = 4√𝑥 − 𝑥
3. √𝑥 + 5 = 𝑥 − 1
4. √3𝑥 + 7 +2√𝑥 − 8 = 0

• Show Video for the Lesson

Example 2
Solve the equation √𝑥 + √𝑥 + 3 = 3.

Exercises 5–6
Solve the following equations.
5. √𝑥 − 3 +√𝑥 + 5 = 4 6. 3 +√𝑥 = √𝑥 +81

Lesson Summary

If 𝑎 = 𝑏 and 𝑛 is an integer, then 𝑎^𝑛 = 𝑏^𝑛. However, the converse is not necessarily true. The statement 𝑎^𝑛 = 𝑏^𝑛 does not imply that 𝑎 = 𝑏. Therefore, it is necessary to check for extraneous solutions when both sides of an equation are raised to an exponent.

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.