Question

Determine if each number is rational or irrational number.

Square root of 64
Square root of 7
1
34
0.23 repeating
-7/11

Answer 1

Let's determine whether each of the given numbers is rational or irrational:

1. **Square root of 64**:
The square root of 64 is 8, which is a whole number. Whole numbers are rational numbers.
**Rational**

2. **Square root of 7**:
The square root of 7 is not a whole number and cannot be simplified to a fraction of two integers, making it an irrational number.
**Irrational**

3. **1**:
The number 1 can be expressed as the fraction 1/1, which is a ratio of two integers.
**Rational**

4. **34**:
The number 34 is a whole number and can be expressed as the fraction 34/1.
**Rational**

5. **0.23 repeating** (denoted as \(0.\overline{23}\)):
This decimal can be expressed as a fraction (specifically, \(\frac{23}{99}\)). Therefore, it is a rational number.
**Rational**

6. **-7/11**:
This is a fraction of two integers (-7 and 11), making it a rational number.
**Rational**

In summary:
1. Rational
2. Irrational
3. Rational
4. Rational
5. Rational
6. Rational