SOLUTION: Q: 4 divided by 4 + square root of 14 I'm not sure where to start.

Algebra ->  Equations -> SOLUTION: Q: 4 divided by 4 + square root of 14 I'm not sure where to start.      Log On


   



Question 94012: Q: 4 divided by 4 + square root of 14
I'm not sure where to start.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Q: 4 divided by 4 + square root of 14
:
4%2F%28%284%2Bsqrt%2814%29%29%29
:
Assume they want you to simplify this.
This means get rid of the radical in the denominator
Do this by multiplying the conjugate of the denominator over itself:
4%2F%28%284%2Bsqrt%2814%29%29%29 * %28%284-sqrt%2814%29%29%29%2F%28%284-sqrt%2814%29%29%29 = %284%284-sqrt%2814%29%29%29%2F%2816+-+4sqrt%2814%29+%2B+4sqrt%2814%29+-+14%29%29; FOIL denominators
:
The middle term cancels out leaving us with:
%2816-4%2Asqrt%2814%29%29%2F%2816+-+14%29%29 = %2816-4%2Asqrt%2814%29%29%2F2 = 8+-+2%2Asqrt%2814%29
:
Did this shed some light on this stuff?