Question

http://prntscr.com/hhx7cj

Answer 1

@Vocaloid

Answer 2

so we need to figure out a way to make sqrt(12) and sqrt(75) have the same number inside the radical symbol

we can start by factoring out perfect squares

12 = 4*3
75 = 25*3

so sqrt(12) = 2sqrt(3) and sqrt(75) = 5sqrt(3)

now that they're both in terms of sqrt(3) you can make these substitutions and combine like terms as normal

Answer 3

\[7\sqrt{3}\]

Answer 4

?

Answer 5

the original expression is

-4sqrt(12) +sqrt(75)

after doing our substitutions we have

-4*2sqrt(3) + 5sqrt(3)

combine these terms

Answer 6

\[-3\sqrt{3} \]

Answer 7

awesome, and that's the final answer (since it is asking for radical form, leave it exactly like that w/o converting to a decimal)