SOLUTION: Please show me how to rationalize the denominator for these questions: a^2/square root of a Square root of a^2/square root of 2 3square root of n^2/square root of 5 Squar

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Question 682426: Please show me how to rationalize the denominator for these questions:
a^2/square root of a
Square root of a^2/square root of 2
3square root of n^2/square root of 5
Square root of x^2/Square root of 3
-x^2/square root of y
3x/square root of 5
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
I AM GIVING YOU AN EXAMPLE SO YOU CAN STUDY AND UNDERSTAND IT BETTER
RATIONALIZE
3/2+√5
STEP (1)SIMPLIFY THE SQUARE ROOT IN THE DENOMINATOR
√5 IS ALREADY SIMPLIFIED,DO NOTHING HERE
STEP (2) MULTIPLY THE NUM.& DENO.BY THE DENOMINATORS CONJUGATE*2-√5
3/2+√5 times 2-√5/2-√5=3(2-√5)/(2+√5)(2-√5)=6-3√5)/4+2√5-2√5)+5=6-3√5/9
STEP(3) SIMPLIFY
6-3√5/9=2-√5/3
6-3√5 OVER 9=2-√5OVER 3