Question

5sqrt2+sqrt18

Answer 1

Hello Bella, welcome to OpenStudy!

In order to simplify the given expression - Let us first factor out 18 .

Can you do write 18 in terms of 2 ? Like 18 = 2 * x , what is x?

Answer 2

Hello, I am lost, please help.

Answer 3

Okay, can you tell me what is 9 * 2 ?

Answer 4

18

Answer 5

Right, so I will write the expression as:

\(5\sqrt{2} + \sqrt{9 * 2} \)

Okay?

Answer 6

okay.

Answer 7

So, 9 can be written as \(3 \times 3\) or \(3^2\)

So, \(5\sqrt{2} + \sqrt{3^2 \times 2}\)

3 will come out from the square root and the expression will become :

\(5\sqrt{2} + 3\sqrt{2}\)

Answer 8

Now, we can take \(\sqrt{2}\) common :

\(\sqrt{2}(5 + 3) = 8\sqrt{2}\)