How do you rationalize the denominator and simplify the answer for $2/(5+sqrt3$ ?

Question

1375 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-03-31T16:32:00

$1/11$ ( 5- $sqrt3$ )

To rationalize the denominator, multiply the numerator as well as denominator by the conjugate of 5+ $sqrt3$ , which is 5- $sqrt3$ .

$2/(5+sqrt3$ * $(5-sqrt3$ )/(5- $sqrt3)$

Since (5+ $sqrt3$ )(5- $sqrt3$ ) equals to (25-3)=22, we have the given fraction equal to $2/22$ (5- $sqrt3)$

= $1/11$ (5- $sqrt3$ )

How do you rationalize the denominator and simplify the answer for 2/(5+sqrt32/(5+sqrt3?