Solving Square Root Equations

Solving Square Root Equations

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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 x is a value y such that y² = x. For example, the square root of 9 is 3, since 3² = 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: √(x) = 6. What is x?

Back

x = 36, because squaring both sides gives x = 6² = 36.

6.

FLASHCARD QUESTION

Front

Solve: √(x) = -3. What is x?

Back

No solution, because the square root cannot be negative.

7.

FLASHCARD QUESTION

Front

What is the solution to the equation √(x + 4) = 2?

Back

x = 0, because squaring both sides gives x + 4 = 2², which simplifies to x = 0.

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