give an example of a number x such that x square is an irrational number and its cube is a rational number
Answers
Given : a number x such that x square is an irrational number and its cube is a rational number
To Find : Give an example
Solution:
Real numbers can be rational number or irrational number
Rational numbers can be represented in form of p/q where p and q are integers and q ≠ 0.
Real numbers which are not rational are irrationals
x = ∛3
x³ = 3 is a rational number
x² = (∛3 )² is an irrational number
Another example
x = ∛5
x³ = 5 is a rational number
x² = (∛5 )² is an irrational number
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