What is 2 radical 3 squared?
Understand the Problem
The question is asking for the value of the expression '2 radical 3 squared', which involves squaring the term that includes a radical. We will first simplify the expression by calculating the square of both the coefficient and the radical individually.
Answer
$6$
Answer for screen readers
$6$
Steps to Solve
-
Identify the expression
The expression is given as $2 \cdot \sqrt{3}^2$. We need to simplify this. -
Square the radical
First, we will square the radical part. The square of a square root can be simplified as follows:
$$ \sqrt{3}^2 = 3 $$ -
Multiply by the coefficient
Now that we have squared the radical, we can multiply it by the coefficient:
$$ 2 \cdot 3 = 6 $$ -
Final calculation
Thus, the final value of the expression $2 \cdot \sqrt{3}^2$ is:
$$ 6 $$
$6$
More Information
The expression simplifies nicely because squaring a square root gives you back the original number under the radical. This property is helpful when dealing with expressions involving radicals.
Tips
- A common mistake is to forget that when you square a square root, it simply returns the value under the root, leading to incorrect calculations. Remember to always simplify the radical first before any multiplications.
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