Can two irrational numbers be rational?

Yes, sum of two irrational number may be rational. But sum is rational number. Yes, sum of two irrational numbers can be a rational number.

Is 0.1875 a rational number?

1875 is a rational number because it can be expressed as the quotient of two integers: 1875 ÷ 1.

Is the number 2 500 rational or irrational?

The value of √2500 is 50. Hence, the square root of 2500 is a rational number.

Is 3.1414141414 a rational number?

3.14141414… Wala Rational because it can be written as a fraction.

How do you prove that there are two irrational numbers?

Dov Jarden gave a simple non-constructive proof that there exist two irrational numbers a and b, such that a b is rational: Consider √2 √2; if this is rational, then take a = b = √2. Otherwise, take a to be the irrational number √2 √2 and b = √2.

Is there a rational number between two real numbers?

If you know that between any two real numbers there is a rational, then why not just shift everything? If a < b, then it follows that 2 + a < 2 + b, and so there is a rational number r with 2 + a < r < 2 + b. But then it follows that a < r − 2 < b.

How to tell if a decimal expansion is rational or irrational?

In the case of irrational numbers, the decimal expansion does not terminate, nor end with a repeating sequence. For example, the decimal representation of π starts with 3.14159, but no finite number of digits can represent π exactly, nor does it repeat. Conversely, a decimal expansion that terminates or repeats must be a rational number.

Is the square root of 2 an irrational number?

The square root of 2 was the first number proved irrational, and that article contains a number of proofs. The golden ratio is another famous quadratic irrational number. The square roots of all natural numbers which are not perfect squares are irrational and a proof may be found in quadratic irrationals.