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

$6$

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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