Solving Square Root Equations

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a square root?
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 a square root equation?
Back
To solve a square root equation, isolate the square root on one side of the equation and then square both sides to eliminate the square root.
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 16 is 4.
4.
FLASHCARD QUESTION
Front
What does it mean if a square root equation has no solution?
Back
A square root equation has no solution if the expression under the square root (the radicand) is negative, as square roots of negative numbers are not real.
5.
FLASHCARD QUESTION
Front
Solve: x² = 36
Back
x = 6 or x = -6.
6.
FLASHCARD QUESTION
Front
Solve: √(x) = 5
Back
x = 25.
7.
FLASHCARD QUESTION
Front
What is the domain of a square root function?
Back
The domain of a square root function is all real numbers x such that the expression under the square root is greater than or equal to zero.
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