Question

Simplify. 4√6+2√6−√6 A- 5√18 B-5√6 C-6√6 D- 6√18

Answer 1

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

Answer 2

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$\sqrt{6}$ + 2$\sqrt{6}$ - $\sqrt{6}$

= $\sqrt{6}$(4 + 2 - 1 )

= 5$\sqrt{6}$ → B