Is 2.5 2 rational or irrational?

The decimal 2.5 is a rational number.

How do you prove that √ 2 is an irrational number?

To prove that √2 is an irrational number, we will use the contradiction method. ⇒ p2 is an even number that divides q2. Therefore, p is an even number that divides q. Let p = 2x where x is a whole number.

Is the number 2 9 irrational?

Explanation: It is also a real number, as rational numbers are a subset of the real numbers (as are all the others mentioned).

Is Root 225 a rational number?

Is the Square Root of 225 Rational or Irrational? 225 can be expressed as the ratio of two integers. As 225 can be expressed as 225 = 225/1. Thus 225 is rational.

How to prove that 3 is an irrational number?

Prove that √3 is an irrational number. Let √3 be a rational number. Then a also divides 3. Then b also divides 3. From this, we come to know that a and b have common divisor other than 1. It means our assumption is wrong. Hence √3 is irrational. Prove that 3 √2 is a irrational. Let us assume 3 √2 as rational.

Is 1/2-root5 an irrational number?

If p,q are integers then (q-2p)/2q is a rational number. Then,√5 is also a rational number. But this contradicts the fact that √5 is an irrational number. So,our supposition is false. Hence proved. Let 1/2-root5 be a rational no. Then, root5 is also a rational no. Therefore 1/2-root5 is an irrational number.

Is the square root of 2^2 rational or irrational?

2 2 is irrational is to first assume that its negation is true. Therefore, we assume that the opposite is true, that is, the square root of 2 2 is rational. You may wonder what our next step be. Well, the assumption should give us a hint where to start.

Is not the product of two irrational numbers equivalent to?

There is no a priori reason to expect that the assertion [Is not the product of two irrational numbers] is equivalent to the assertion [Is the product of two rational numbers] (and in fact these last two are not equivalent). Share Cite Follow edited Sep 25 ’13 at 8:03