Learn How to Solve a Radical Equation by Squaring Both Sides

Learn How to Solve a Radical Equation by Squaring Both Sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an equation involving a square root. It begins with setting up the problem and then demonstrates the steps to isolate the variable by squaring both sides of the equation. The solution is verified by substituting the value back into the original equation to ensure it satisfies the condition.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation presented in the video?

Divide both sides by 2

Subtract 2 from both sides

Add 2 to both sides

Multiply both sides by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to eliminate the square root in the equation?

Dividing both sides by 2

Multiplying both sides by 2

Taking the square root of both sides

Squaring both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After squaring both sides, what is the next step to isolate the variable?

Divide both sides by 12

Multiply both sides by 12

Subtract 12 from both sides

Add 12 to both sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value of B is found after solving the equation?

B = -9

B = -3

B = 3

B = 9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the solution verified in the video?

By graphing the equation

By solving a different equation

By substituting B back into the original equation

By checking if B equals 0