Respuesta :

Answer:

B

Step-by-step explanation:

Simplifying radicals is similar to collecting like terms in algebra.

Here, the like terms are the radicals

Given

4[tex]\sqrt{6}[/tex] + 2[tex]\sqrt{6}[/tex] - [tex]\sqrt{6}[/tex]

= [tex]\sqrt{6}[/tex](4 + 2 - 1 )

= 5[tex]\sqrt{6}[/tex] → B

AlpenGlow

Answer:

B. 5√6

Step-by-step explanation:

These are all like terms or like radicals so we can just do the operations. When we say like radicals they have the same root and radicand.

ex.

√ab and √ab

3√3 and 2√3

Notice that both have √3, same root and same radicand so they are like terms.

Now going back to your problem:

4√6 + 2√6 - √6

Just add/subtract the coefficients and copy the radicand since they are like radicands.

4√6 + 2√6 - √6

= 6√6 - √6

= 5√6

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