Rationalize the denominator of the expression. Then simplify your answer.
2/(7 – √3). i got an answer of (14+2√3)/46 but its wrong

Question

anonymous · Answer

they want you to cancel a two top and bottom i bet

anonymous · Answer

$$\frac{7+\sqrt{3}}{23}$$

anonymous · Answer

hmm, i'll try that

anonymous · Answer

yea they did, how do you know when to do it? i've come across problems where they don't want you to for some reason.

anonymous · Answer

(9-6√3)/12. can i apply that to this as well?

anonymous · Answer

it was a guess when you said it didn't like the answer..  generally you should write fraction in reduced form. so even if you had 
$$\frac{14+2x}{46}$$ you would probably write 
$$\frac{7+x}{23}$$

anonymous · Answer

yes it would e 
$$\frac{3-2\sqrt{3}}{4}$$

anonymous · Answer

You got it right...you just didn't do the simplification part

$$(14 + 2\sqrt{3})/4 = (7 + \sqrt{3})/23$$

phi · Answer

you asked "yea they did, how do you know when to do it? "
The question states "Then simplify your answer."

Simplify, in this case, means factor out any common multiples
In your answer, each term can be divided by 2 (in both the numerator and denominator).