What is the value of √(9 + 3 + 3)? a) 9⁴ b) 3⁴ c) 3⁵
Understand the Problem
The question asks to simplify a mathematical expression inside a square root, which involves basic arithmetic and exponentiation. The answer choices suggest that it is a multiple-choice question.
Answer
The expression simplifies to $\sqrt{15}$.
Answer for screen readers
The expression simplifies to $\sqrt{15}$.
Steps to Solve
- Perform the addition inside the square root
First, add the numbers inside the square root:
$$ 9 + 3 + 3 = 15 $$
- Rewrite the expression
Next, substitute the result back into the square root:
$$ \sqrt{15} $$
- Simplify if possible
Since 15 can be factored into $3 \times 5$, but neither 3 nor 5 is a perfect square, the square root cannot be simplified further. Thus, we remain with:
$$ \sqrt{15} $$
- Relate to answer choices
The answer choices provided are $9^4$, $3^4$, and $3^5$. Check if $\sqrt{15}$ equals any of these values. None of the choices are equal to $\sqrt{15}$, indicating the need to reexamine or clarify the question or choices.
The expression simplifies to $\sqrt{15}$.
More Information
This expression does not directly match any of the given multiple-choice answers. The question may need clarification or a recheck of the options provided.
Tips
- Adding the numbers incorrectly (9 + 3 + 3 must result in 15).
- Misunderstanding how to simplify square roots. Always check if the number can be expressed as a product of a perfect square.
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