Simplify. Assume x represents a positive number. sqrt24x^4?

0 ⤊

sqrt24x^4

please show me how to work this

2007-06-16 06:01:12 · 4 answers · asked by Bianca B 1 in Science & Mathematics ➔ Mathematics

So:
(24x^4)^1/2
Then, you take the square root of 24 and multiply it by the square root of x^4
So: sqrt(24) * x^2
= 2x^2*sqrt(6)

2007-06-16 06:04:49 · answer #1 · answered by Lilovacookedrice 3 · 0⤊ 0⤋

24 = 2 X 2 X 2 X 3

x^4 = x^2 X x^2

So taking square root of each we can write

sqrt 24x^4 = 2x^2 x sqrt2 x sqrt3

2007-06-16 13:06:56 · answer #2 · answered by Swamy 7 · 0⤊ 0⤋

factor 24x^4
2*2*2*3*x*x*x*x
take out pairs and you get
2x^2sqrt6

2007-06-16 13:07:30 · answer #3 · answered by hrhbg 3 · 0⤊ 0⤋

sqrt (24x^4)
2x^2 * sqrt 6

2007-06-16 13:32:34 · answer #4 · answered by jimbob 6 · 0⤊ 0⤋