What is a square root?
Solving Square Root Equations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.
2.
FLASHCARD QUESTION
Front
How do you solve the equation x² = 16?
Back
To solve x² = 16, take the square root of both sides. x = ±√16, so x = ±4.
3.
FLASHCARD QUESTION
Front
What is the principal square root?
Back
The principal square root is the non-negative square root of a number. For example, the principal square root of 25 is 5.
4.
FLASHCARD QUESTION
Front
What does it mean to isolate the variable in an equation?
Back
Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.
5.
FLASHCARD QUESTION
Front
What is the first step in solving square root equations?
Back
The first step is to isolate the square root on one side of the equation.
6.
FLASHCARD QUESTION
Front
How do you check your solution after solving a square root equation?
Back
Substitute your solution back into the original equation to verify that both sides are equal.
7.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that does not satisfy the original equation, often introduced when squaring both sides of an equation.
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