What is the simplified form of the reciprocal of: squareroot 2 + squareroot 18?

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What is the simplified form of the reciprocal of: squareroot 2 + squareroot 18?

Mathematics
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u would have 1 on top of both fractions.then u simplify square root 20 to 2 square root 5 after adding like terms. you end up with ::: 1 over 2 square root of 5
thats not one of the multiple choice options
ok so how is it written exactly?

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Other answers:

\[\sqrt{2}+\sqrt{18}=\sqrt{2}+\sqrt{9}\sqrt{2}=\sqrt{2}+3\sqrt{2}=(1+3)\sqrt{2}=4\sqrt{2}\]
oops missed the reciprocal part
\[\frac{1}{4\sqrt{2}}\]
rationalize the denominator and you will have your answer
ok i see what you did. that actually helps me on my hw. so before you can add the like terms u have to break them down?
\[\frac{1}{4\sqrt{2}}*\frac{2}{2}=\frac{\sqrt{2}}{4*2}=\frac{\sqrt{2}}{8}\]
that 2/2 is sqrt2/sqrt2
got it sparky?
yah thanks guys

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