How do you rationalize the denominator and simplify #2/(3-sqrt2)#?

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Answer 1 · 2018-04-17T01:52:42

#2/(3-sqrt2)=color(blue)((2(3+sqrt2))/7#

Simplify:

#2/(3-sqrt2)#

Rationalize the denominator by multiplying the numerator and denominator by #(3+sqrt2)#.

#(2(3+sqrt2))/((3-sqrt2)(3+sqrt2))#

#(2(3+sqrt2))/(9-2)#

#(2(3+sqrt2))/7#