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Mathematics 14 Online
OpenStudy (anonymous):

Simplify. √ 2/√2-√a

OpenStudy (blank ):

Is the "√2-√a" together or separate? Put parentheses to show me.

OpenStudy (anonymous):

Its 2 on top and √2-√a on bottom @Blank 

OpenStudy (anonymous):

the second one

OpenStudy (blank ):

Do you have choices? I'm asking because there is many different versions of the answer.

OpenStudy (anonymous):

no i don't

OpenStudy (blank ):

(√(2))/(√(2)-√(a)) To rationalize the denominator of a fraction, rewrite the fraction so that the new fraction has the same value as the original and has a rational denominator. The factor to multiply by should be an expression that will eliminate the radical in the denominator. In this case, the expression that will eliminate the radical in the denominator is ((√(2)+√(a)))/((√(2)+√(a))). (√(2))/(√(2)-√(a))*(√(2)+√(a))/(√(2)+√(a)) Simplify the rationalized expression. (2+√(2a))/(2-(a)) Multiply -1 by each term inside the parentheses. (2+√(2a))/(2-a) Reorder the polynomial 2-a alphabetically from left to right, starting with the highest order term. (2+√(2a))/(-a+2) Hope this helps. :)

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