How do you rationalize the denominator and simplify: $2 / (5 - sqrt 2)$ ?

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Answer 1 · 2015-04-04T15:29:14

To rationalize, multiply the numerator and the denominator by the conjugate of 5- $sqrt2$ . This is 5+ $sqrt2$ .

Accordingly it is 2(5+ $sqrt2$ )/(5- $sqrt2$ )(5+ $sqrt2$ )
= 2(5+ $sqrt2$ )/(25-2)
= $2/23$ (5+ $sqrt2$ )

How do you rationalize the denominator and simplify: 2 / (5 - sqrt 2)2 / (5 - sqrt 2)?