How do you simplify $2/sqrt7$ ?

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Answer 1 · 2017-01-24T14:40:55

Multiply numerator and denominator by $sqrt(7)$ :

$2/(sqrt(7))*(sqrt(7)/sqrt(7))$ = $(2sqrt(7))/7$ .
That is considered "rationalized" since the denominator is now a rational number, 7.

Example: Simplify $2/(3sqrt(12))$

Simplify the denominator first, then rationalize.
$2/(3sqrt(4)sqrt(3))$ = $2/(3*2sqrt(3))$ = $2/(6sqrt(3))$

and reduce the $2/6$ = $1/(3sqrt(3))$ .

NOW, multiply top and bottom by $sqrt(3)$ :

$1/(3sqrt(3))*(sqrt(3)/(sqrt(3)))$ = $(sqrt(3))/(3*3)$ = $sqrt(3)/9$ .

How do you simplify 2/sqrt72/sqrt7?