Question

.

Answer 1

To rationalize a denominator, you want to get rid of the root symbols from the bottom

Answer 2

So the denominator here is \[\sqrt{8x}\] and you want to get rid of it's root symbol.

Answer 3

So multiply both the top and the bottom by root x. So you get \[\sqrt{5}*\sqrt{8x}\] on the top

Answer 4

And on the bottom \[\sqrt{8x}*\sqrt{8x}=8x\]

Answer 5

So you are left with \[\sqrt{40x}/8x\]

Answer 6

How would you simplify from there?

Answer 7

Hint: simplest radical form for the \[\sqrt{40x}\]

Answer 8

No, it's no just 8x without the roots.

Answer 9

Now*

Answer 10

No, you can break it into it's simplest radical form, which is \[\sqrt{40x}=\sqrt{4}*\sqrt{10x}=2\sqrt{10x}\]

Answer 11

So now you have 2\[2\sqrt{10x}/8x\]

Answer 12

So divide both the bottom and top by 2, and what do you get?

Answer 13

Yup

Answer 14

Well imagine \[\sqrt{25}*\sqrt{25}\]

Answer 15

Which is equivalent to 5 * 5

Answer 16

Which equals 25

Answer 17

That's how I think about it

Answer 18

Welcome :)