Final answer:
The method for removing radicals from the numerator of a fraction is rationalization, which often requires multiplying both the numerator and denominator by an expression that will eliminate the radical.
Step-by-step explanation:
The method used to remove radicals from the numerator of a fraction is known as rationalization. Rationalization involves multiplying the numerator and the denominator of a fraction by an appropriate expression that will eliminate the radical in the numerator. For example, if you have a square root in the numerator, you would multiply by the conjugate of the numerator (if it's a binomial) or the same square root to remove the radical.
For instance, with a fraction like \(\frac{\sqrt{3}}{5}\), you would multiply both the numerator and the denominator by \(\sqrt{3}\) to get \(\frac{\sqrt{3} \times \sqrt{3}}{5 \times \sqrt{3}}\), which simplifies to \(\frac{3}{5\sqrt{3}}\). Then, if necessary, you might have to rationalize the denominator further to obtain a final expression without radicals.