Give an example of a number x such that x^2 is an an irrational number and x^3 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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Answer:
(cube root of 3)³
Step-by-step explanation:
let x = cube root of 3
x² = (cube root 3)²
which comes 3⅔ so it's irrational and,
x³ = (cube root of 3)³
which comes 3³/³ it's cancels and after that comes 3 that's why it's rational .
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