wich of the floowing desribe -the square root of 4

5 answers

The square root of 4 is 2. This is because 2 multiplied by itself (2 × 2) equals 4. In mathematical terms, the square root of a number \( x \) is a value \( y \) such that \( y^2 = x \). Therefore, the square root of 4 can be expressed as:

\[ \sqrt{4} = 2 \]

Additionally, it is important to note that the square root function typically gives the principal (non-negative) square root. Hence, while -2 is also a solution to the equation \( y^2 = 4 \), \( \sqrt{4} \) is defined as 2.

rational number real number integer irrashesano number

Let’s define each of the terms you've mentioned:

  1. Rational Number: A rational number is any number that can be expressed as the quotient \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \). This includes integers (like -1, 0, 1), fractions (like \( \frac{1}{2} \), \( \frac{-3}{4} \)), and finite or repeating decimals (like 0.75 or 0.333...).

  2. Real Number: Real numbers include all the numbers on the number line. This category encompasses rational numbers and irrational numbers. Real numbers can be positive, negative, whole numbers, fractions, and irrational numbers.

  3. Integer: Integers are whole numbers that can be positive, negative, or zero. The set of integers is represented as \( \mathbb{Z} = {..., -3, -2, -1, 0, 1, 2, 3, ...} \). Integers do not include fractions or decimals.

  4. Irrational Number: An irrational number is a number that cannot be expressed as a simple fraction or quotient of two integers. Their decimal expansions are non-repeating and non-terminating. Examples include \( \pi \) (approximately 3.14159) and \( \sqrt{2} \) (approximately 1.41421).

Summary:

  • Rational Numbers can be expressed as fractions.
  • Real Numbers include both rational and irrational numbers.
  • Integers are whole numbers that can be positive, negative, or zero.
  • Irrational Numbers cannot be expressed as fractions and have non-repeating, infinite decimal expansions.

If you have a specific question about any of these types of numbers, feel free to ask!

wich of the floowing desribe -the square root of 4 ational number real number integer irrashesano number

The square root of 4 is 2, which can be classified as follows:

  1. Rational Number: Yes, 2 is a rational number because it can be expressed as \( \frac{2}{1} \).
  2. Real Number: Yes, all rational numbers are real numbers, so 2 is also a real number.
  3. Integer: Yes, 2 is an integer because it is a whole number.
  4. Irrational Number: No, 2 is not an irrational number because it can be expressed as a fraction.

Summary:

The square root of 4 (which is 2) is a rational number, real number, and integer. It is not an irrational number.

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