Math Problem Statement
Solution
The question in the image asks whether is a rational number.
A rational number is any number that can be expressed as a fraction , where and are integers and .
Since 53 is not a perfect square (its square root is not an integer), cannot be expressed as a fraction of two integers. Therefore, is not a rational number; it is an irrational number.
The correct answer to the question is "no".
Would you like further details or have any questions?
Here are 5 related questions:
- What is the difference between rational and irrational numbers?
- Can a square root ever be a rational number?
- How do you determine if a number is irrational?
- Are all square roots of prime numbers irrational?
- Can an irrational number be converted into a fraction?
Tip: Irrational numbers cannot be written as exact fractions, and their decimal expansions are non-repeating and non-terminating.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Rational and Irrational Numbers
Formulas
A rational number can be expressed as p/q where p and q are integers, and q ≠ 0.
Theorems
Square roots of non-perfect squares are irrational.
Suitable Grade Level
Grades 6-8
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