Question

Length of a soccer field is $100\sqrt{6}$ ft. Its width is 50 ft more than its length.
So, the width of the soccer field will be a ________.

• A. Rational
• B. Irrational
• C. Integer
• D. Imaginary

Answer 1

The correct option is B Irrational

Given,
Length of the soccer field = $100\sqrt{6}$ ft.
Width of the field is 50 feet than the length of the field.

∴ Width of the soccer field = $100\sqrt{6}+50$ ft.

$100\sqrt{6}\text{is irrational and}50\text{is rational}$

$\because \text{Sum of rational and irrational}$
$\text{number = irrational number}$

So, the width of the soccer field will be an irrational number.