Question

5 sqrt10(18 - sqrt6)

Answer 1

Are you asking \[5\sqrt{10(18-\sqrt{6})}\]?

Answer 2

no
5 sqrt10 (18- sqrt6)

Answer 3

So... \[5\sqrt{10}(18-\sqrt{6})\]?

Answer 4

yes

Answer 5

\[90\sqrt{10}-5\sqrt{60}\]
\[90\sqrt{10}-10\sqrt{15}\]

Answer 6

how did you get the 15?

Answer 7

5*sqrt(60) = 5*sqrt(4)*sqrt(15)=5*2*sqrt(15)=10*sqrt(15).

Answer 8

ok thanks i got it
can i ask another question?

Answer 9

Sure... just post another one, unless your question pertains to the one you just asked me.

Answer 10

sqrt5 divided by 18 + sqrt3

Answer 11

Are you trying to rationalize it?

Answer 12

i don't know. i think i just need to simplify it

Answer 13

It is basically simplified already. Rationalize means that there can't be any roots in the denominator.

Answer 14

yes - rationalize it please

Answer 15

sqrt(5)/(18+sqrt(3)). Multiply both the top and bottom by 18-sqrt(3).
On the top, you have sqrt(5)(18-sqrt(3)). On the bottom, you have 18^2-3. I hope you can simplify from here.

Answer 16

what does the ^ sign mean?

Answer 17

power or exponentiation.