rationalize the denominator in the following radicals and collect the like terms
14√12 / √13
To rationalize the denominator, we need to create a fraction with a rational denominator (meaning no radicals).
To do this, we multiply both the numerator and denominator by the conjugate of the denominator:
(14√12 / √13) * (√13 / √13) = (14√(12*13)) / √(13*13)
Simplifying the expression:
= (14√156) / √169
= (14√156) / 13
Now, we can collect like terms:
= (14/13) * √156