mathematics - Express \frac{\sqrt{63}}{3}+\frac{14}{\sqrt{7}} in the form of n\sqrt{7}, where n is an integer.

Ramanath Parimi (last edited 5 years ago) (Expert, Quality Engineer @Qalaxia)

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 of variables from inside of the radical to the outside. If there are not enough numbers or variables to make a group then leave those numbers or variables inside of the radical.

Combine the like terms and simplify the expressions both inside and outside of the radical.

Find unknowns by comparing the given answer to result.