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How do you factor an irrational number?
You cannot. Factors are a characteristic of whole numbers.
Is 3.14159 rational or irrational?
3.14159 is an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal, which is characteristic of irrational numbers. In fact, 3.14159 is a rounded approximation of the mathematical constant π (pi), which is also irrational.
What is the characteristic of irrational numbers?
They cannot be expressed as a fraction a/b, where a and b are integers (with b non-zero).
Is the square root of 5 irrational number?
Yes, the square root of 5 is an irrational number. This is because it cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating, which is a characteristic of irrational numbers. Therefore, √5 is not a rational number.
Is the square root of 77 an irrational?
Yes, the square root of 77 is an irrational number. This is because 77 is not a perfect square, meaning it cannot be expressed as the square of a whole number. Therefore, its square root cannot be written as a simple fraction, which is the defining characteristic of irrational numbers.
Is the square root of 34 is rational or irrational?
The square root of 34 is irrational. This is because 34 is not a perfect square, meaning it cannot be expressed as the ratio of two integers. The decimal expansion of the square root of 34 is non-repeating and non-terminating, which is characteristic of irrational numbers.
Is the square root of 257 an irrational number?
Yes, the square root of 257 is an irrational number. Since 257 is not a perfect square, its square root cannot be expressed as a fraction of two integers. Therefore, it has a non-repeating, non-terminating decimal expansion, characteristic of irrational numbers.
Are uneven square roots rational or irrational why?
They are rational because the characteristic of evenness and unevenness is relevant only in the context of integers. And all integers are rational.
Is the decimal 38.4 an irrational number?
No, the number 38.4 is a rational number. It can be expressed as a fraction, which is a characteristic of rational numbers. 38 4/10, or 384/10.
Is the square root of 5.777 rational or irrational?
Irrational. Irrational. Irrational. Irrational.
Is pi a repeating decimal?
Basically No, The number pi has a decimal fraction that goes on forever and never falls into a repeating pattern. That is characteristic of irrational numbers like pi.
Is the square root of 0.025 irrational or rational?
It is irrational.
