Answer :
[tex]\sqrt{8}[/tex] is an irrational number ⇒ answer B
Step-by-step explanation:
Let us explain the meaning of:
- A rational number is a number that can be written as a fraction
- An irrational number is a number that cannot be expressed as a fraction
Examples:
Rational numbers : 10 , [tex]\frac{2}{5}[/tex] , 0.333
Irrational numbers : π , √8 , ∛25 , (2 + √5) , [tex]\frac{\sqrt{7}}{3}[/tex]
∵ [tex]\sqrt{9}=3[/tex]
∵ 3 is a rational number
∴ [tex]\sqrt{9}[/tex] is a rational number
∵ [tex]\sqrt{8}[/tex]
∵ There is no square root of 8
∴ [tex]\sqrt{8}[/tex] is an irrational number
∵ 0.3333 can be expressed as [tex]\frac{3333}{10000}[/tex]
∴ 0.3333 is a rational number
∵ [tex]\frac{2}{3}[/tex] is a fraction
∵ All fractions are rational numbers
∴ [tex]\frac{2}{3}[/tex] is a rational number
[tex]\sqrt{8}[/tex] is an irrational number
Learn more:
You can learn more about real numbers in brainly.com/question/4853862
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