Show that \frac{\sqrt{75}-\sqrt{27}}{\sqrt{3}} is an integer and find its value

Anonymous
0
Identify the prime factors of the radicand inside every radical
Determine the index of the radical
According to the index of the radicals move each group of numbers and variables from inside of the radical to the outside of the radical. If there are not enough numbers or variables to make a group, then leave the numbers inside the radical
Combine the like terms and simplify the expressions both inside and outside of the radical
Check the result obtained satisfies the result type in the question.