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The square root of 2 is irrational because it cannot be expressed as a fraction in which the numerator and denominator are both integers.
Another way of saying this is that the square root of 2 will have infinite decimal places in any a number system of any radix (base 10, base 2, base 3, base 16, etc)
This should not be confused with imaginary numbers. Rational and Irrational Numbers together combine to make the Real numbers, imaginary numbers are, however, not Real. Imaginary numbers are those that can be expressed as a Real number multiplied by the square root of negative 1 (also known as i or j)
So, strictly speaking, both sqrt(2) and sqrt(-1) are "not rational numbers", however, they are not both "irrational" numbers.
What else can I help you with?
Is 0.692 rational or irrational?
ANY number with a finite number of decimal digits is RATIONAL.(Also, numbers with an infinite number of decimals may be rational - in which case the digits repeat - or irrational.)
How can you do squares and square roots?
A number is squared by multiplying it by itself, for example 8 is the square of 64 (8 x 8 = 64). Square roots are found by figuring out which number, when squared, will give the number in question, for example the square root of 64 is 8 (64 / 8 = 8).
How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
Give one example for if you add two irrational number and answer should get in rational number?
Suppose A = 2 + sqrt(3) and B = 5 - sqrt(3) Then A and B are two irrational numbers but A + B = 2 + sqrt(3) + 5 - sqrt(3) = 7 which is rational.
How do you find a rational number between two given rational numbers?
Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.
Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?
The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.
Is a non perfect square root a rational number?
It can be. The square roots of 2.25 are -1.5 and 1.5: rational numbers.
Give an example of a rational number?
1/2
Can you Give me an example of a rational number?
1/2
Give an example of a rational number between the square root of -36 and the square root of 36?
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Can you add an irrational number and a rational number to give an irrational?
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
Can you please give me an example of an irrational number and a rational number?
An irrational number cannot be written as a fraction or to an exact decimal such as the symbol for pi or the square root of two. A rational number can be written in the form of a fraction or a decimal to an exact value.
What is rational and irrational number give example?
All integers and fractions are rational numbers whereas irrational numbers can't be expressed as fractions as for example the square root of 2 can't be expressed as a fraction because it is a non-terminating decimal number.
Can you please give me an three example of rational number and irrational number?
Rational numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . . . . . Irrational numbers: square root of (2, or 3, or 5, or 6, or 7, or 8, or 10, or 11, or 12, or 13)
Can you give an example of an integer that is not rational why or why not?
No, all integers are rational, whole numbers.
Give you a rational number that is a natural number?
All natural numbers are rational numbers.
Give an example of a rational number that is not an integer?
Every number that you can write with digits, and a decimal point or fraction bar if you need it, is a rational number. Very few of them are integers. Examples: 1/2 0.792461828459046 343/1928
