How do you rationalize the denominator and simplify 2√6−√5?
1 Answer
Mar 14, 2016
2√6−√5=2(√6+√5)
Explanation:
Note the difference of squares identity:
a2−b2=(a−b)(a+b)
We use this with
Multiply both numerator and denominator by
2√6−√5=2√6−√5⋅√6+√5√6+√5
=2(√6+√5)6−5
=2(√6+√5)