Question

Negitive 12 square root of 12 minus 2 square root of 3

A -50 squareroot of 3
B -22 squareroot of 3
C -26 squareroot of 3
D -10 squareroot of 3

Answer 1

You said . . . -12√12 - 2√3 .

Before we get all tangled up trying to work on the whole thing at once,
take a look at that first square root: √12 .

That's the same thing as √(4 · 3) and you can break it up like this:

√(4 · 3) = √4 · √3 .

Now, we know what √4 is . . . it's just 2 .

So we can write the first half of your original big quantity like this:

-12 √12

= -12 · 2 · √3

= -24√3 .

NOW, finally, let's go back and rewrite the whole thing:

-24√3 - 2√3 .

Isn't that a lot nicer looking ?
It's nearly solved all by itself ... if you don't let the √3 scare you.

It just says -24(cows) - 2(cows) .
and everybody knows, that's just -26(cows).

So -24√3 - 2√3 is just -26√3 . (choice-C)