How do you rationalize the denominator and simplify $6/(3-sqrt3)$ ?

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How do you rationalize the denominator and simplify $6/(3-sqrt3)$ ?

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Answer 1 · 2016-07-21T20:29:16

$3+sqrt3$

Explanation:

$6/(3-sqrt3)$
Multiplying both numerator and denominator by $3+sqrt3$
we get
$6(3+sqrt3)/((3-sqrt3)(3+sqrt3)$
OR
$6(3+sqrt3)/(3^2-(sqrt3)^2)$
OR
$6(3+sqrt3)/(9-3)$
OR
$6(3+sqrt3)/6$
OR
$3+sqrt3$

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How do you rationalize the denominator and simplify $6/(3-sqrt3)$ ?

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Science

Math

Humanities

... and beyond

How do you rationalize the denominator and simplify 6/(3-sqrt3)6/(3-sqrt3)?

1 Answer

Explanation:

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Impact of this question

How do you rationalize the denominator and simplify $6/(3-sqrt3)$ ?