SOLUTION: Please help. Need turned in in an hour and I can't figure these out. 1. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. Sq

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: Please help. Need turned in in an hour and I can't figure these out. 1. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. Sq      Log On

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Question 534093: Please help. Need turned in in an hour and I can't figure these out.
1. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
Square root or r- square root of s
___________________________________ (Stands for divided by)
Square root of r+Square root of s
2. Rationalize the denominator. Assume that all expressions inder radicals represent positive numbers.
^3Square root of 2y^4
_____________________ (stands for divided by)
^3square root of 6x^4
3. Rationalize the denominator.
14Square root of 5
__________________ (Stands for divided by)
5Square root 0f 2



Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
1. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
%28sqrt%28r%29+-+sqrt%28s%29%29%2F%28sqrt%28r%29+%2B+sqrt%28s%29%29
Multiply NUM and DEN by conjugate of the DEN
= %28sqrt%28r%29+-+sqrt%28s%29%29%5E2%2F%28r+-+s%29%29
= %28r+%2B+s+-+2sqrt%28rs%29%29%2F%28r+-+s%29
------------------------------------
2. Rationalize the denominator. Assume that all expressions inder radicals represent positive numbers.
^3Square root of 2y^4
_____________________ (stands for divided by)
^3square root of 6x^4
--------------
What is ^3 ?
----------------
3. Rationalize the denominator
14sqrt%285%29%2F%285sqrt%282%29%29
= 14sqrt%2810%29%2F10
= 7sqrt%2810%29%2F5