Algebra: Rational & Irrational Numbers Unit test:

Question

When dividing square roots. when is it beneficial to divide the radicands before expressing the fraction in its simplest radical form? What rule allows the radicands to be divided in this way? In 1 sentence.

Answer 1

It is beneficial to divide the radicands before simplifying the fraction when both the numerator and denominator are under a square root, as this is allowed by the property that states √(a/b) = √a/√b for positive numbers a and b.