Question

pythagorean theorem and simplifying radicals practice
17 of 32
simplify.

1. \\(\frac{72}{\sqrt{3}}\\)

Explanation:

Step1: Rationalize the denominator

Multiply numerator and denominator by $\sqrt{3}$:
$\frac{72}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{72\sqrt{3}}{3}$

Step2: Simplify the fraction

Divide 72 by 3:
$\frac{72}{3}\sqrt{3} = 24\sqrt{3}$

Answer:

$24\sqrt{3}$ (corresponding to the boxed values: first box = 24, second box = 3)