## anonymous 5 years ago simplify: 4 over 2 + radical 3

1. anonymous

So 4/2=2. So 2+radical3 is simplified, since you can not do anything more with the radical 3

2. anonymous

$4\div \left( 2 + \sqrt{3} \right)$

3. anonymous

Is that what you meant?

4. anonymous

its 4 over 2+ radical 3

5. anonymous

yes

6. anonymous

7. anonymous

Ah nevermind, my computer loaded up what dashingblock typed earlier. :)

8. anonymous

Okay, so you can't have a radical in the denominator. If you multiply the radical by itself directly, then you get just the number under the radical. But you have to make sure whatever you're multiplying by is a one. Let me show you in mathematical terms. Dr. Pepper, shall I take this one and you can help another? :P

9. anonymous

10. anonymous

$\sqrt{9}$And that is equal to the number three since the square root of 9 is 3. This means you now have: 2 _____ 2+3 So really, 2 ____ 5 But there's a problem because if you are going to multiply one part of a fraction (say, the denominator) by something, you must multiply the other part (numerator) by the same thing.

11. anonymous

So now its: 2 multiplied by $\sqrt{3}$ __________________ 5

12. anonymous

Oh, dang, please replace all of my numerator 2 with numerator 4! Whoops, sorry! This is the correct answer : $4\sqrt{3} \div 5$