Question

How do you evaluate 2√6+3√54?

Answer 1

Answer:

11√6

Step-by-step explanation:

First let's simplify the second radical, 3√54.

9 can easily divide 54.

So we can rewrite √54 to √9·√6.

Since 9 in a square we get √3²·√6

We can carry out the square and we get 3√6

But 3√6 is only equal to √54, we need 3√54, so let's multiply by 3

We get 9√6

So back to the original problem.

Now we have 2√6+9√6, which equals 11√6.