How do you rationalize the denominator and simplify $2/(2sqrt2)$ ?

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Answer 1 · 2017-07-15T02:45:56

See a solution process below:

First, simplify the expression by cancelling common terms in the numerator and denominator:

$2/(2sqrt(2)) => color(red)(cancel(color(black)(2)))/(color(red)(cancel(color(black)(2)))sqrt(2)) => 1/sqrt(2)$

To rationalize the denominator (or remove the radical from the denominator), multiply the expression by the appropriate form of $1$

$1/sqrt(2) xx sqrt(2)/sqrt(2) => sqrt(2)/2$

How do you rationalize the denominator and simplify 2/(2sqrt2)2/(2sqrt2)?