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.

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