Answer:
Step-by-step explanation:
1. [tex]\sqrt{72}[/tex] break it apart so you can solve
[tex]\sqrt{2} *\sqrt{36}[/tex]
[tex]\sqrt{2}[/tex] * 6
6[tex]\sqrt{2}[/tex]
It's irrational. [tex]\sqrt{2}[/tex] can not be written as a ratio.
2.
rational
a. -9
3.0
[tex]\frac{2}{5}[/tex]
2.4222... 2/90 = .22222.... 36/90 = .4 180/90 = 2
2+36+180 = 218/90 which is a ratio, so it's rational
irrational
b. [tex]\sqrt{8} = 2\sqrt{2}[/tex]
[tex]\pi[/tex]
3.
6.51326.... and [tex]\sqrt{39}[/tex]
The [tex]\sqrt{39}[/tex] = 6.2445
Comparing to the 6.51326, it has a difference of 0.268262. Thus, 6.51326 is greater than square root of 39.
