Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes
so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so
x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero
x³=0
x=0
x-∛3=0
x=∛3
x²+x∛3+∛9=0 has no solution
x+∛3=0
x=-∛3
x²-x∛3+∛9=0 has no solution
so the solutions are
x=-∛3, 0, ∛3
Answer:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)
Step-by-step explanation:
<u>Definitions</u>
Integer: A whole number that can be positive, negative, or zero.
Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).
Irrational Number: A real number that <u>cannot</u> be written as a rational number.


Therefore, -8.2183 can be expressed as a <u>rational number</u>.
π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.

is an irrational number.

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.
<u>Conclusion</u>
Therefore, the numbers that are irrational are:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)