How do you rationalize the denominator and simplify $3/(8-sqrt5)$ ?

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Answer 1 · 2015-09-25T17:24:03

Try this:

You multiply and divide your fraction by: $8+sqrt(5)$ to get:
$3/(8-sqrt(5))*(8+sqrt(5))/(8+sqrt(5))=$
$=3(8+sqrt(5))/(64-5)=3/59(8+sqrt(5))$

How do you rationalize the denominator and simplify 3/(8-sqrt5)3/(8-sqrt5)?