Solving Radical Equations with Square Roots

This video tutorial by Fort Bend Tutoring, led by Mr. Whit, focuses on solving radical equations. It covers seven problems, each demonstrating different techniques and challenges, such as isolating radicals, dealing with extraneous solutions, and solving quadratic equations. The tutorial emphasizes checking solutions for accuracy and understanding the nature of radical equations. The session concludes with a request for feedback and engagement from viewers.

What is the first step in solving radical equations as mentioned in the tutorial?

• Divide by the coefficient of the radical

• Add constants to both sides

• Square both sides immediately

• Isolate the radical on one side

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CCSS.HSA.REI.A.2

What must you do after isolating the radical in a radical equation?

• Convert the radical to a logarithmic form

• Subtract the radical from both sides

• Divide both sides by the radical

• Square both sides to eliminate the radical

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CCSS.HSA.REI.A.2

What is an extraneous solution in the context of radical equations?

• A possible solution that does not satisfy the original equation

• A correct solution that fits the original equation

• A solution derived from incorrect steps

• A solution that simplifies the equation

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CCSS.HSA.REI.A.2

In the tutorial, what happens when the radical equation has no real solutions?

• The equation is discarded

• It leads to imaginary numbers

• The radical is multiplied by -1

• Both sides of the equation are cubed

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CCSS.HSA.REI.A.2

How do you handle a radical equation where the radical is set equal to a negative number?

• Add a constant to both sides

• Conclude there are no real solutions

• Ignore the negative sign and solve

• Multiply both sides by -1

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CCSS.HSA.REI.A.2

What is the correct method to verify a solution to a radical equation?

• Plug the solution back into the original equation

• Divide the original equation by the solution

• Multiply the solution by the coefficient

• Subtract the solution from the original equation

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CCSS.HSA.REI.A.2

What type of number results when squaring a negative value under a radical?

• A negative number

• A positive number

• Zero

• An imaginary number

What does the cube root of a negative number yield?

• Zero

• A positive number

• An imaginary number

• A negative number

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CCSS.8.EE.A.2

What is the result of cubing negative four?

• -64

• 64

• -16

• 16

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CCSS.8.EE.A.2

What should you always check after solving a radical equation?

• If the solution is a prime number

• If the solution satisfies the original equation

• If the solution is greater than zero

• If the solution is an integer

Tags

CCSS.HSA.REI.A.2