Question

How do I simplify this radical expression? I'm supposed to divide by rationalizing the denominator.

Answer 1

In short, you use 1, since any number is itself times 1, or whatever = whatever * 1

$\bf \cfrac{4}{\sqrt{50}}\iff \cfrac{4}{\sqrt{50}}\cdot 1\iff \cfrac{4}{\sqrt{50}}\cdot \cfrac{1}{1}\implies \cfrac{4}{\sqrt{50}}\cdot \cfrac{\sqrt{50}}{\sqrt{50}} \\\\\\ \cfrac{4\sqrt{50}}{\sqrt{50^2}}\implies \cfrac{4\sqrt{50}}{50}$