QQuestionMathematics
QuestionMathematics
What are the square roots of 81? Check all that apply.
A. |9|
B. 9.5
C. 3
D. - 9
E. 9
F. - 3
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the definition of square roots
- For 81, we're looking for numbers that satisfy the equation $$x^{2} = 81
- The square roots of a number are values that, when multiplied by themselves, equal the original number
Step 3:: Find the positive square root
- $$\sqrt{81} = 9
- 9 \times 9 = 81 - This means 9 is a valid square root
Step 4:: Find the negative square root
- $$(-9)^{2} = 81
- The negative counterpart is also a square root - This means - 9 is also a valid square root
Step 5:: Evaluate the given options
A. |9| = 9 ✓ B. 9.5 ✗ (not a square root of 81) C. 3 ✗ (3 × 3 = 9, not 81) D. - 9 ✓ E. 9 ✓ F. - 3 ✗ (- 3 × - 3 = 9, not 81)
Final Answer
Correct options are A, D, and E.
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