Question 323084: ((sqrt 11 - sqrt 7)/(sqrt 11 + sqrt 7))Solve
Found 3 solutions by stanbon, rapaljer, Fombitz:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! ((sqrt 11 - sqrt 7)/(sqrt 11 + sqrt 7))
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Multiply numerator and dinominator by (sqrt(11)-sqrt(7)) to get:
((sqrt 11 - sqrt 7))^2/(11-7)
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= [11 + 7 - 2sqrt(77)]/4
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= [18 -2sqrt(77)]/4
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= [9 - sqrt(77)]/2
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Cheers,
Stan H.
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! 
For additional help with square roots, please look at my explanation, and see if it is easier to understand than the one in your textbook. You can find my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. From here, you can see and click on my website.
From my Homepage, click on the link "Basic, Intermediate, and College Algebra: One Step at a time." Choose "Basic Algebra", and look in "Chapter 5" for and entire chapter on the topic of Square Roots, especially "Section 5.04 Multiplying Square Roots." In addition to my own personal explanation of these topics, many of the exercises in this curriculum are solved in the "MATH IN LIVING COLOR" sections that go with it.
You can also see FREE videos of these topics from the website. To see the videos, look for the topic on my Homepage called "Rapalje Videos in Living Color." Choose "Basic Algebra", and look for the video on "Radicals." These videos are recordings of my own classes back a few years before I retired. You may need to download RealPlayer (which is also a FREE download!) in order to view the videos.
Try my curriculum! I wrote it especially for students who have trouble with math! And it's all FREE!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
Answer by Fombitz(32388)  (Show Source):
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