How do I simplify this square root of an equation???

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Sq. root of (3x^2 - 12x + 12)???

Anyone have a clue how to simplify it?

2007-11-14 12:57:24 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

√(3x^2 -12x + 12) =
√(3)√(x^2-4x+4) =
√(3)√( (x-2)^2) =
√(3) |x-2|

p.s. it's not an equation

2007-11-14 13:03:12 · answer #1 · answered by Demiurge42 7 · 0⤊ 0⤋

Inside the square root is:

3x^2 - 12x + 12
=3(x^2 - 4x + 4)
=3(x-2)^2

So the simplification would be:

sqrt(3) * (x - 2)

2007-11-14 13:03:15 · answer #2 · answered by Sean L 2 · 0⤊ 1⤋

square it to get rid of the square root

so you have this

3x^2 -12x + 12

3(x^2 - 4x + 4)
3(x-2)(x-2)

2007-11-14 13:00:40 · answer #3 · answered by Ms. Exxclusive 5 · 0⤊ 1⤋