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Rationalize the fraction
( x + 3) / √(x + 3)

2007-10-24 05:47:19 · 3 answers · asked by sumguy 1 in Education & Reference Homework Help

3 answers

Step 1 - Multiply numerator and denominator by the same number (equivalent of multiplying the fraction by one). In this case, multiply the numerator and denominator by the square root of (x+3).

Step 2 - your square root is now squared in the denominator, so your denominator can be simplified.

Step 3 - you should now be able to simplify the fraction (remove common parenthetical factors from the numerator and the denominator)

2007-10-24 05:59:22 · answer #1 · answered by The Bruce 1 · 0 0

( x + 3) / √(x + 3) = [ ( x + 3) / √(x + 3) ] [√(x + 3)/√(x + 3)]

=[( x + 3)√(x + 3)] / (x + 3)
= √(x + 3)

2007-10-24 05:54:19 · answer #2 · answered by rene c 4 · 0 0

If a root is at the bottom you have to move it to the top. you will do that multiplying teh top and teh bottom by itself. You get [(X+3)*square root of (X+3)]/x+3. The x+3 at teh top is cancelled by teh x+3 at the bottom. So your answer is square root of (x+3)
How did you find the symbol for root.

2007-10-24 05:51:19 · answer #3 · answered by leah p 2 · 0 0

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