Question

Find the exact value of the radical expression in simplest form.
c times the square root of c + 12 times c times the square root of c − 2 times c times the square root of c @jim_thompson5910

Answer 1

let me try to write it out

Answer 2

\[c \times \sqrt{c} + 12c \sqrt{c} - 2c \sqrt{c}\]

Answer 3

There^

Answer 4

oh you did it for me, thanks, ok one sec

Answer 5

what you can do is replace every copy of \(\large \sqrt{c}\) with another variable, say z

Answer 6

Okay.

Answer 7

so

\[\large c \times \sqrt{c} + 12c \sqrt{c} - 2c \sqrt{c}\]

turns into

\[\large cz + 12cz - 2cz\]

Answer 8

what can you do from there?

Answer 9

Ummmm. Solve? O.o

Answer 10

see any like terms?

Answer 11

Subtract 2cz from 12cz?

Answer 12

good, what else

Answer 13

cz + 12cz - 2cz

is the same as

1cz + 12cz - 2cz

Answer 14

if you subtract 2cz from 12cz, you get 10cz, so you now have

1cz + 10cz

Answer 15

11cz

Answer 16

we let \(\large z =\sqrt{c}\)

Answer 17

so replace z with the square root of c to get this final answer

\[\large 11c\sqrt{c}\]

Answer 18

Awesome! Thanks so much.

Answer 19

you're welcome