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What is a number that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal?

A number which can not be expressed as a ratio of two integers is "irrational". Irrational numbers can not be expressed on paper through conventional means. Examples of irrational numbers are: pi Euler's number (e) Any square root of an integer which isn't a perfect square.


Is the square root of -22 rational?

No, the square root of -22 is not rational. The square root of a negative number is an imaginary number, specifically in this case, it is expressed as ( \sqrt{-22} = i\sqrt{22} ), where ( i ) is the imaginary unit. Rational numbers are defined as numbers that can be expressed as a fraction of two integers, and since imaginary numbers do not fit this definition, the square root of -22 is not rational.


Is a negative square root rational?

A negative square root is not rational because it is typically represented as an imaginary number. For example, the square root of a negative number, such as -1, is expressed as "i," where i is the imaginary unit. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, and imaginary numbers do not fit this definition. Thus, negative square roots are not considered rational.


Is -0.6 a perfect square?

No, -0.6 is not a perfect square. A perfect square is a number that can be expressed as the square of an integer or a rational number. Since the square of any real number is non-negative, there are no real numbers whose square equals -0.6.


What is the role of rational and irrational number plays in modern day calculation?

Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions such as the square root of 2

Related Questions

Is the square root of 9 an irrational number?

No. The square root of 9 is 3. An irrational number is a number that can't be expressed with a fraction, meaning it is not an integer or a whole number. Numbers such as pi or e are irrational. Rational numbers are numbers that can be expressed with a fraction. Hope this helps!


What is irratoinal numbers?

An irrational number can not be expressed as a fraction such as the square root of 2


What is inrational numbers?

An irrational number is a number that can not be expressed as a fraction as for example the square root of 2


What is a number that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal?

A number which can not be expressed as a ratio of two integers is "irrational". Irrational numbers can not be expressed on paper through conventional means. Examples of irrational numbers are: pi Euler's number (e) Any square root of an integer which isn't a perfect square.


Are all square roots rational numbers?

No, not all square roots are rational numbers. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Square roots that are perfect squares, such as √4 or √9, are rational numbers because they can be expressed as whole numbers. However, square roots of non-perfect squares, such as √2 or √3, are irrational numbers because they cannot be expressed as a simple fraction.


How are irrational numbers different from other numbers?

A rational number can be expressed as a fraction, with whole numbers in the numerator and the denominator, for example 2/3, -3/4, or 5 (which is equal to 5/1). An irrational number can not be expressed as such a fraction. For example, the square root of 2, the square root of any positive integer that is not a perfect square, pi, the number e.


Is the square root of -22 rational?

No, the square root of -22 is not rational. The square root of a negative number is an imaginary number, specifically in this case, it is expressed as ( \sqrt{-22} = i\sqrt{22} ), where ( i ) is the imaginary unit. Rational numbers are defined as numbers that can be expressed as a fraction of two integers, and since imaginary numbers do not fit this definition, the square root of -22 is not rational.


Is a negative square root rational?

A negative square root is not rational because it is typically represented as an imaginary number. For example, the square root of a negative number, such as -1, is expressed as "i," where i is the imaginary unit. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, and imaginary numbers do not fit this definition. Thus, negative square roots are not considered rational.


Is the square root of 47 a rational number?

'47' is a prime number, so it does not have a rational square root. sqrt(47) = 6.8556546... to 9 d.p. An irrational number which cannot be converted to a quotient; that is made into a fraction. NB The square roots of prime numbers are irrational.


How do you split the number 29 into saqure numbers?

Expressed as a sum of square numbers, 29 is equal to ±52 + ±22


Is -0.6 a perfect square?

No, -0.6 is not a perfect square. A perfect square is a number that can be expressed as the square of an integer or a rational number. Since the square of any real number is non-negative, there are no real numbers whose square equals -0.6.


What is the role of rational and irrational number plays in modern day calculation?

Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions such as the square root of 2