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___5___
√[3] + √[5]

2007-10-10 12:24:47 · 1 answers · asked by Ivyâ?¥ Left Myspace 1 in Science & Mathematics Mathematics

1 answers

Since your denominator is the *sum* of two radicals, you want to multiply by the *difference* of these same two radical.

Therefore, multiply the numerator and denominator by √3 - √5

5 (√3 - √5)
---------------------------
3 + √3√5 - √3√5 - 5

You'll notice you can now cancel the radicals in the denominator:
5 (√3 - √5)
----------------
....... -2

Now you probably want to make that positive:
-5 (√3 - √5)
-----------------
........ 2

You can stop there or distribute the -1 through if you want:
5 (√5 - √3)
---------------
...... 2

2007-10-10 12:29:44 · answer #1 · answered by Puzzling 7 · 0 0

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