Question 135934
3√24 +√54

Break each radical separately.

√24 becomes √4 times √6.

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√54 becomes √9 times √6

Since the square root of 4 and 9 are perfect squares, we can simply write the square root of 4 as 2 and the square root of 9 as 3.

We now have:

2√6 + 3√6....The goal here is to get the SAME radical, which in this case happens to be 6.  See it?

We now simply add the numbers OUTSIDE the square root of 6 and we're done.

2√6 + 3√6 = 5√6

Is this clear?