Respuesta :

Answer:

[tex]Root = 0.44[/tex]

Step-by-step explanation:

Required

Determine the square root of [tex]\frac{50}{250}[/tex]

Start by simplifying the fraction

[tex]Digit = \frac{50}{250}[/tex]

Divide the numerator and denominator by 50

[tex]Digit = \frac{1}{5}[/tex]

Next, determine the square root;

[tex]Root = \sqrt{\frac{1}{5}}[/tex]

Split the squarer root

[tex]Root = \frac{\sqrt{1}}{\sqrt{5}}[/tex]

[tex]Root = \frac{1}{\sqrt{5}}[/tex]

Rationalize

[tex]Root = \frac{1}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}[/tex]

[tex]Root = \frac{\sqrt{5}}{5}[/tex]

[tex]Root = \frac{2.2360679775}{5}[/tex]

[tex]Root = 0.4472135955[/tex]

[tex]Root = 0.44[/tex] --- Approximated