Question

http://prntscr.com/hhxb0l

Answer 1

first multiply all of the non-radical parts (3,2) then the radical parts sqrt(2), sqrt(8), sqrt(3), sqrt(6)

3*2*sqrt(2*8*3*6)

then try factoring out perfect squares from the radical to simplify the answer

Answer 2

\[6\sqrt{288}\]

Answer 3

good, now try factoring out perfect squares like 4 and 9 from 288

Answer 4

.....

Answer 5

try re-writing 288 as a product of 4 and 9

Answer 6

288 = 9 * ___

fill in the blank

Answer 7

32

Answer 8

32 = 4 * 8

Answer 9

awesome, so we can re-write 288 as

9 * 4 * 8

we can go one step further and re-write 8 as 4 * 2 giving us

288 = 9 * 4 * 4 * 2

now going back to the original expression we have

6*sqrt(9*4*4*2)

we can separate these into

6*sqrt(9)*sqrt(4)*sqrt(4)*sqrt(2)

^ try simplifying this expression into a radical

Answer 10

\[6\sqrt{288}\]

Answer 11

that's back where we started ^_^" the goal is to reduce the number inside the radical symbol

Answer 12

6*sqrt(9)*sqrt(4)*sqrt(4)*sqrt(2)

we leave sqrt(2) alone since 2 is not a perfect square
sqrt(4) = 2
sqrt(9) = 3

using these substitutions, re-write 6*sqrt(9)*sqrt(4)*sqrt(4)*sqrt(2) so that the only radical is sqrt(2)

Answer 13

6*2*2*3Sqrt2

Answer 14

good but multiply 6*2*2*3 out

Answer 15

72

Answer 16

good so the answer is 72sqrt(2)

Answer 17

next question is drop down boxes
so ill do one at a time