Question
Decide if the number is rational or irrational.
Irrational
Rational
Irrational
Rational
Ask by Lambert Hampton. in the United States
Nov 18,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
The number
is irrational.
A rational number can be expressed as the quotient of two integers (a fraction), while an irrational number cannot be expressed in this way. Since
cannot be simplified to a fraction of two integers, it is classified as irrational.
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Extra Insights
The number
is irrational because it cannot be expressed as a fraction of two integers. Essentially, it’s a non-repeating, non-terminating decimal, which means its digits go on forever without forming a repeating pattern—just like the riveting adventures of mathematical puzzles!
To further engage, remember that square roots of non-perfect squares (like 10) yield irrational numbers. So, while you can easily identify
as rational (since it equals 2),
takes us on a wild, infinite ride into the world of decimals. Embrace the chaos of irrational numbers!