How do you simplify #3/ (8 - sqrt2)#?

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Answer 1 · 2016-04-02T08:01:08

#3/(8-sqrt2)=(24+3sqrt2)/62#

From the given expression #3/(8-sqrt2)#, start by rationalization by multiplying the expression by #(8+sqrt2)/(8+sqrt2)#

Let us do it

#3/(8-sqrt2)*(8+sqrt2)/(8+sqrt2)#

#(3(8+sqrt2))/(8^2-(sqrt2)^2)#

#(24+3sqrt2)/(64-2)#

#(24+3sqrt2)/62#

God bless....I hope the explanation is useful.