The easiest way to simplify the expression $\frac{9}{8-\sqrt{8}}$ is to multiply both the numerator and denominator by $8+\sqrt{8}$.

Question

Quizplus · Accepted Answer

The easiest way to simplify the expression is to multiply both the numerator and denominator by the conjugate of the denominator, $8+\sqrt{8}$. Since $(a+b)(a-b)=a^{2}-b^{2}$, there will thus be no radical expression remaining in the denominator. (Explanations will vary.)

The Easiest Way to Simplify the Expression 98−8\frac{9}{8-\sqrt{8}}8−8​9​ Is to Multiply Both the Numerator and Denominator By

The Easiest Way to Simplify the Expression $\frac{9}{8-\sqrt{8}}$ Is to Multiply Both the Numerator and Denominator By