I've been doing this take home math exam and there are two problems I just can't figure out. any help would be great!!
15.Simplify
√8 ÷ √12
and
16. Simplify the following radicals by rationalizing the denominator. Show your work. (2 points each)
(they are fractions)
a.6√8
√2
b. _8_
√7
Thank you!
2007-02-03 07:02:21 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
15 answer: root 2 over root 3. take out a 2 or root 4 from each one to get 2 root 2 over 2 root 3. take away the 2 and ur left with root 2 over root 3
16a. answer=12. multiply top and bottom by root 2. which gives you 6 root 16 over 2. simplify root 16 to 4 and you get 6*4 over 2 which is 12.
16b. answer= 8 root 7 all over 7 . multiply top and bottom by root 7 to get 8 root 7 over 7
2007-02-03 07:10:43 · answer #1 · answered by berelane 2 · 0⤊ 0⤋
To simplify sqrt 8 / sqrt 12:
That's the same as sqrt (8/12) = sqrt (2/3)
You now have sqrt 2 / sqrt 3. To rationalize the denominator, multiply the top and bottom by the bottom.
so (sqrt 2)(sqrt 3) / (sqrt 3)(sqrt 3)
= (sqrt 6)/3
You should be able to do the others now.
2007-02-03 15:06:02 · answer #2 · answered by Mathematica 7 · 0⤊ 0⤋
For sixteen, you need to multiply the radical on the bottom by the top and bottom. So, for the second one, you'd get 8root7 over 7. Fifteen is the same thing. Multiply both parts by root 12, so you have the answer over 12.
2007-02-03 15:08:08 · answer #3 · answered by Anonymous · 0⤊ 0⤋
well put them in to fractions first then simplify and then answer the question
2007-02-03 15:30:28 · answer #4 · answered by talonaberner 1 · 0⤊ 0⤋