How do you rationalize the denominator and simplify 265?

1 Answer
Mar 14, 2016

265=2(6+5)

Explanation:

Note the difference of squares identity:

a2b2=(ab)(a+b)

We use this with a=6 and b=5 below...

Multiply both numerator and denominator by 6+5 ...

265=2656+56+5

=2(6+5)65

=2(6+5)