Question

rewrite the rational expression in simpler radical form

Answer 1

\[3\sqrt{5}(5\sqrt{3}+2\sqrt{12})\]

Answer 2

First distribute.

Answer 3

Or actually, it may be easier in this case to first simplify your radicals in the parens.

Answer 4

ok how do i do that

Answer 5

factor the parts under the radcial.

Answer 6

and pull out any squares.

Answer 7

ok i got \[3\sqrt{5}(5\sqrt{3}+4\sqrt{3})\] is that close?

Answer 8

That is exactly right so far. Now combine the terms in parens.

Answer 9

ok \[3\sqrt{5}(9\sqrt{3)}\]
yes?

Answer 10

Yep. Now multiply the two.

Answer 11

\[27\sqrt{15}\]
yes?

Answer 12

Yep.

Answer 13

is that all i have to do

Answer 14

Yep

Answer 15

thanks :D btw when can we twiddla again?

Answer 16

Oh, whenever you need. My schedules a bit iffy at the moment.

Answer 17

Just send me an email a day or two in advance to schedule a time.

Answer 18

ok i can do that