## anonymous 4 years ago 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

1. anonymous

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

2. anonymous

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

3. anonymous

hmm, i'll try that

4. anonymous

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.

5. anonymous

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

6. anonymous

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 $\frac{7+x}{23}$

7. anonymous

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

8. anonymous

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

9. phi

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).