Question

pythagorean theorem and simplifying radicals practice
13 of 32
simplify.

1. \\(\frac{73}{\sqrt{2}}\\)

Explanation:

Step1: Rationalize the denominator

Multiply numerator and denominator by $\sqrt{2}$:
$\frac{73}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{73\sqrt{2}}{\sqrt{2} \times \sqrt{2}}$

Step2: Simplify the denominator

Calculate $\sqrt{2} \times \sqrt{2} = 2$:
$\frac{73\sqrt{2}}{2}$

Answer:

$\frac{73\sqrt{2}}{2}$
(To fill the boxes: top left = 73, top right = 2, bottom = 2)