I'm learning how to simplify radical expressions and I really need help simplifying this one so can someone please help me???
(this problem uses a square root box but since I can't put it on here I'll use / so when you see / that means that I'm referring to a square root box)
Here's the problem...
Simplify the radical expression below...
12 / 60x ^2
Here's the answer choices...
A.) 48x / 15
B.) 24 / 15x ^2
C.) 48 / 15x ^2
D.) 24x / 15
Please help me...I'm still learning how to do this
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Answers & Comments
Verified answer
Sorry for the delay. I've been trying to post my answer all day, but Yahoo! Answers was having technical difficulties.
ASSUMPTION: x² is under the radical sign.
12√(60x²) =
12√(60 * x²)
Remember that √(x * y) = √x * √y.
12[√60 * √(x²)] =
12[√60 * x] =
Factor 60.
12[√(4 * 15) * x] =
Remember that √(x * y) = √x * √y.
12(√4 * √15 * x) =
12(2 * √15 * x) =
12(2x√15) =
24x√15
ANSWER: D. 24x√15
12 sqrt( 60)x ^2
= 12* 2 sqrt( 15)x ^2
= B.) 24 sqrt( 15)x ^2
QED