martinezadam576
Answered

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Select the correct answer.

What is this expression in simplified form?
[tex]\[
12 \sqrt{6} + 4 \sqrt{6}
\][/tex]

A. 48

B. [tex]\( 16 \sqrt{12} \)[/tex]

C. [tex]\( 32 \sqrt{3} \)[/tex]

D. [tex]\( 16 \sqrt{6} \)[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\( 12 \sqrt{6} + 4 \sqrt{6} \)[/tex], we follow these steps:

1. Identify like terms: Both terms have the square root of 6, so they are like terms.
2. Combine the coefficients: We add the coefficients of the like terms together.

Thus, we start with:
[tex]\[ 12 \sqrt{6} + 4 \sqrt{6}. \][/tex]
We combine the coefficients 12 and 4:
[tex]\[ 12 + 4 = 16. \][/tex]
So the expression simplifies to:
[tex]\[ 16 \sqrt{6}. \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{16 \sqrt{6}} \][/tex]

The answer is D.
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