Asked by Shaima Albusaidi on Jun 10, 2024
Verified
Classify the number 23\sqrt { 23 }23 as rational or irrational.
A) rational
B) irrational
Irrational
A type of number that cannot be expressed as a simple fraction, including numbers like \(\pi\) and \(\sqrt{2}\).
Rational
Pertaining to a number or expression that can be expressed as the quotient or ratio of two integers.
Square Root
The number that produces a specified quantity when multiplied by itself (e.g., the square root of 9 is 3).
- Classify numbers as rational or irrational.
Verified Answer
CS
Courtney SandersJun 13, 2024
Final Answer :
B
Explanation :
The square root of 23 is not a perfect square, therefore it cannot be expressed as a fraction of two integers. Since irrational numbers cannot be expressed as a ratio of two integers, 23\sqrt { 23 }23 is irrational.
Learning Objectives
- Classify numbers as rational or irrational.