Question
Identify the number which is IRRATIONAL.
Responses
A -1.23-1. 23
B square root of 8
C 2/3
D 0
Responses
A -1.23-1. 23
B square root of 8
C 2/3
D 0
Answers
GPT-4o mini
To identify which number is irrational, let's analyze each of the options:
A. \(-1.23\) - This is a decimal number and is rational because it can be expressed as a fraction (-123/100).
B. \(\sqrt{8}\) - The square root of 8 can be simplified to \(2\sqrt{2}\). Since \(\sqrt{2}\) is an irrational number, \(\sqrt{8}\) is also irrational.
C. \(2/3\) - This is a fraction and is rational.
D. \(0\) - This is a whole number and is rational.
Based on this analysis, the number that is irrational is:
**B. \(\sqrt{8}\)**.
A. \(-1.23\) - This is a decimal number and is rational because it can be expressed as a fraction (-123/100).
B. \(\sqrt{8}\) - The square root of 8 can be simplified to \(2\sqrt{2}\). Since \(\sqrt{2}\) is an irrational number, \(\sqrt{8}\) is also irrational.
C. \(2/3\) - This is a fraction and is rational.
D. \(0\) - This is a whole number and is rational.
Based on this analysis, the number that is irrational is:
**B. \(\sqrt{8}\)**.
Related Questions
Identify square root of 11 as either rational or irrational, and approximate to the tenths place....
Identify the most specific set to which each of the following numbers belongs:
Square root of 144...
Identify the MOST SPECIFIC set to which each of the following numbers belongs. (7 points)
Square ro...
Products of Irrational Square Roots Quick Check
1 of 51 of 5 Items
Question
Rewrite the irrationa...