The expression represents an irrational number are B. √75 and D. √3-√3 .
Any number that cannot be expressed as the quotient of two integers i.e. p/q.
A. 0.18 = 18/100
⇒ it is expressed as quotient of two integers p/q.
∴ 0.18 is a rational number.
B. [tex]\sqrt{75}[/tex]
⇒it is not expressed as quotient of two integers p/q.
∴ It is an irrational number.
C. 2/3
⇒it is expressed as quotient of two integers p/q.
∴ 2/3 is a rational number.
D. √3-√3
⇒ √3-√3 is not expressed as quotient of two integers p/q.
∴ B. √75 and D. √3-√3 are irrational numbers.
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