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Simplify $$\frac {16 + 18\sqrt{2}}{3 - 2\sqrt{2}}$$

Jul 31, 2020

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To begin with, we need to rationalize the denomenator. To do so, we multiply that by $$3 + 2\sqrt2$$. (this is an excellent website for rationalizing the denominator: https://www.chilimath.com/lessons/intermediate-algebra/rationalizing-the-denominator/)

Anyways, multiply the top and bottom by $$3+2\sqrt2$$. This will give you $$88+54\sqrt{2}$$

Jul 31, 2020