What is 2 times the square root of 3 squared?
Understand the Problem
The question is asking us to calculate the value of 2 multiplied by the square of the square root of 3. To solve it, we will first find the square of the square root of 3 and then multiply that result by 2.
Answer
$6$
Answer for screen readers
The final answer is $6$.
Steps to Solve
- Find the square root of 3
We start by calculating the square root of 3. This can be expressed as:
$$ \sqrt{3} $$
- Square the square root of 3
Next, we square the result of the square root. Squaring a square root brings us back to the original number:
$$ (\sqrt{3})^2 = 3 $$
- Multiply by 2
Finally, we multiply the result by 2:
$$ 2 \times 3 = 6 $$
The final answer is $6$.
More Information
This calculation shows the relationship between square roots and squares: squaring a square root returns the original number. In this case, multiplying by 2 gives us a straightforward final result of 6.
Tips
- Miscalculating the square root or squaring incorrectly can lead to wrong results. Always ensure the operations are applied in the correct order and properly simplify each step.
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