I need to simplify the following expression: sqrt6 + 2 sqrt6sqrt root symbol is √

2 Answers

embizze's profile pic

embizze | High School Teacher | (Level 2) Educator Emeritus

Posted on

We can add sqrt(6) and 2sqrt(6) since they are like terms getting 3sqrt(6). Since there are no fractions, the only other concern is that there is no perfect square factor under the radical, and since 6 has no perfect square factors besides 1, the expression is simplified.


Thus the answer is 3 sqrt(6)

mfonda's profile pic

Matthew Fonda | eNotes Employee

Posted on

In order to simplify this expression, you must combine like terms. Notice that each term contains `\sqrt(6)` , so we can add them both together to get our answer:

`\sqrt{6} + 2\sqrt{6} = 3\sqrt{6}`