Question

Find the exact value of the expression in simplest form: the square root of 3 times x + 3 the square root of 3 times x − 2 the square root of 3 times x − 10

I tried this, but I think I messed part of it up.

Answer 1

@phi

Answer 2

can you use the equation editor on this ? It 's too hard to decipher

Answer 3

Yes, one second.

Answer 4

\[\sqrt{3x}+3\sqrt{3x}-2\sqrt{3x}-10\]

Answer 5

focus just on the terms with the sqrt(3x)
can you combine them ?

Answer 6

one ugly plus 3 more uglies take away 2 uglies. How many uglies (how many \( \sqrt{3x} \)?)

Answer 7

sqrt9x ?

Answer 8

no, all you do is count up uglies (count up the number of \(\sqrt{3x}\) )
you don't change the \(\sqrt{3x}\) only the number of them

Answer 9

if you think of the \(\sqrt{3x}\) as cows, it would be 1 cow + 3 cows - 2 cows
how many cows ?
you get the same number of \(\sqrt{3x}\)

Answer 10

2 sqrt 3x 's

Answer 11

yes,
you started with
\[ \sqrt{3x}+3\sqrt{3x}-2\sqrt{3x}-10 \]
and now have
\[ 2\sqrt{3x}-10 \]
which may be the answer. Or you can factor a 2 from each term to get
\[2(\sqrt{3x}-5 )\]

Answer 12

Awesome, thanks ^_^ I have one more, if you don't mind. I'll post it in a second.