Respuesta :
Answer:
- [tex]\sqrt{12}[/tex]
Step-by-step explanation:
Since there is a negative sign before the expression, we automatically know that the final answer must be negative.
Focusing on the rest of the expression (2[tex]\sqrt{3}[/tex]), keep in mind that the '2' was factored out of the original square root. So, the square root of what number equals 2? The answer is 4. Now, we can put back the 2 into the square root and that becomes: [tex]\sqrt{4*3}[/tex]
Simplifying it: [tex]\sqrt{12}[/tex]
Then, adding the negative sign from earlier: -[tex]\sqrt{12}[/tex]
The opposite of a square root [tex]-2\sqrt{3}[/tex] is [tex]\sqrt{12}[/tex] and this can be determined by using the arithmetic operations.
Given :
Number --- [tex]-2\sqrt{3}[/tex]
The following steps can be used in order to determine the opposite of a square root:
Step 1 - The arithmetic operations can be used in order to determine the opposite of a square root.
Step 2 - Write the given number.
[tex]= -2\sqrt{3}[/tex]
Step 3 - Take 2 inside the square root.
[tex]=-\sqrt{4\times 3}[/tex]
Step 4 - Multiply 4 by 2 in the above expression.
[tex]=-\sqrt{12}[/tex]
Step 5 - The opposite of the above square root is:
[tex]=\sqrt{12}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/1957976