Question

Simplifying Radicals

I need to know how to simplify radicals. Could someone go through the process? Use 5 radical 128 + 2 radical 18

Answer 1

Is this the equation? \[5\sqrt{128}+2\sqrt{18}\]

Answer 2

Yes, just when posting a question I don't get all the tools.

Answer 3

Let's do 2 radical 18 first. What we are looking for a square values of 18 or factors of 18/ So what times what equals 18?

Answer 4

2x9 which \[\sqrt{9} = 3\] so \[3\sqrt{2}\]

Answer 5

Great but you need to multiply the 3 by 2 so you get 6 rational 2. Do you see this?

Answer 6

Oh yeah.

Answer 7

Ok now what about the other radical?

Answer 8

So right now I have \[5\sqrt{128}+6\sqrt{2}\]

Answer 9

\[5\sqrt{64*2}\]

Answer 10

\[40\sqrt{2}\]

Answer 11

So, \[40\sqrt{2}+6\sqrt{2}=46\sqrt{2}\]

Answer 12

I think I was confused because I had \[6\sqrt{2}\] wrong.

Answer 13

Great job....

Answer 14

So, basically I need to know mt times tables real well?

Answer 15

Yes when adding or subtracting you are looking to find "like radicals".