You rationalize denominators by using a form of one. Thus.
sqrt(X + 6)/sqrt(X) * sqrt(X)/sqrt(X)
= sqrt(X2 + 6X)/X
------------------------
Chat with our AI personalities
Multiply everything by the square root of 3 minus the square root of 2 and then times that by 100 - 72 and divide that by 5
0.625
If you want to rationalize the denominator, then multiply numerator & denominator by sqrt(5), so 8*sqrt(5)/5 = approx 3.578
It is called rationalizing the denominator, and it is done by multiplying numerator and denominator by appropriate numbers. Note that if you do that, you will usually end up with radicals in the numerator. Examples: 1 / (square root of 2): Multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3): Multiply numerator and denominator by (square root of 2 - square root of 3).
-26