What should you do after isolating the radical in an equation?

Square both sides of the equation to eliminate the radical.

Why is it important to check for extraneous solutions?

Because squaring both sides can introduce solutions that are not valid in the original equation.

How do you solve $$\sqrt{x} = a$$ ?

Square both sides to get $$x = a^2$$ .

What is the domain of a square root function?

The domain is all values of $$x$$ such that the expression inside the square root is non-negative.

What is the difference between a square root and a cube root?

A square root has two solutions (positive and negative), while a cube root has one real solution.

What is the principle of solving radical equations?

The principle is to isolate the radical, eliminate it by raising to the appropriate power, and then solve for the variable.

Resource Library

Math

Algebra

...

Aa 3.1 Review Solving Radical Equations Practice

AA 3.1 REVIEW- SOLVING RADICAL EQUATIONS PRACTICE

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.A.2, 8.EE.A.2

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

Solve the equation: $-5\sqrt[3]{2x+3}=-15$ . Check for extraneous solutions!

Back

The solution is $x=12$ .

Tags

CCSS.HSA.REI.A.2

FLASHCARD QUESTION

Front

Solve the equation: $9+\sqrt[]{15n+4}=16$ . Check for extraneous solutions!

Back

The solution is $n=3$ .

Tags

CCSS.HSA.REI.A.2

FLASHCARD QUESTION

Front

Solve the equation: $\sqrt[]{8-b}=\sqrt[]{4b-2}$ . Check for extraneous solutions!

Back

The solution is $b=2$ .

Tags

CCSS.HSA.REI.A.2

FLASHCARD QUESTION

Front

Solve the equation: $\sqrt[3]{3v-2}=\sqrt[3]{2v}$ . Check for extraneous solutions!

Back

The solution is $v=2$ .

Tags

CCSS.HSA.REI.A.2

FLASHCARD QUESTION

Front

Identify the index in the expression $\sqrt[c]{a^b}$ .

Back

The index is $c$ .

FLASHCARD QUESTION

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that does not satisfy the original equation.

Tags

CCSS.HSA.REI.A.2

FLASHCARD QUESTION

Front

What is the first step in solving radical equations?

Back

Isolate the radical on one side of the equation.

Tags

CCSS.HSA.REI.A.2

10.

FLASHCARD QUESTION

Front

What is the cube root of a number?

Back

The cube root of a number $x$ is a number $y$ such that $y^3 = x$ .

Tags

CCSS.8.EE.A.2

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