Respuesta :
Hello from MrBillDoesMath!
Answer: B
Discussion:
A. (216) ^ (1/3) = 6 -- rational
B. 144 ^ (1/3) = could be... let's check other answers
C. 125 ^ (1/3) = 5 -- rational
D.64^ (1/3) =4 -- rational
So choice B is the answer. (The answer was determined by elimination. We have not proved that choice B is actually an irrational number)
Thank you,
MrB
Answer:
Step-by-step explanation:
Option A : [tex]\sqrt[3]{216} =\sqrt[3]{(6)^3} =6[/tex] Rational number
Option B : [tex]\sqrt[3]{144}=\sqrt[3]{3\times3\times\2\times2\times2\times2}=2\sqrt{18}[/tex] Irrational number
Option C : [tex]\sqrt[3]{125}=\sqrt[3]{(5)^3} =5[/tex] Rational number
Option D : [tex]\sqrt[3]{64}=\sqrt[3]{(4)^3} =4[/tex] Rational number
