Answer:
It is irrational because it can not be represented as a fraction of two integers
Step-by-step explanation:
Given
[tex]B_1 = 3.6[/tex]
[tex]B_2 = 12\frac{1}{3}[/tex]
[tex]H = \sqrt[3]5[/tex]
Required
Why is the area irrational?
First, we need to calculate the area
[tex]Area = \frac{1}{2}(B_1 + B_2) * H[/tex]
[tex]Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5[/tex]
[tex]Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100[/tex]
[tex]Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710[/tex]
[tex]Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100[/tex]
[tex]Area = \frac{47.8}{6} * 1.7100[/tex]
[tex]Area = \frac{47.8* 1.7100}{6}[/tex]
[tex]Area = \frac{81.738}{6}[/tex]
[tex]Area = 13.623[/tex]
It is irrational because it can not be represented as a fraction of two integers
