(d) √81=9 which is a rational number. Hence, (c) is the correct answer.

Answer Expert Verified Proof by contradiction , Let us consider 4 -√3 is a rational number, so it can be expressed as p/q where p, q are co primes , integers. So this contradiction has arrived because of our faulty assumption that 4 – √3 is rational. Hence it is irrational.

4 is a rational number because it can be expressed as the quotient of two integers: 4 ÷ 1.

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.

All numbers that can be made by dividing two integers cannot be irrational. Step-by-step explanation: So, all numbers that can be made by dividing two integers cannot be irrational. For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.

(Entry 1 of 2) : not rational: such as. a(1) : lacking usual or normal mental clarity or coherence. (2) : not endowed with reason or understanding.

Irrational behavior is one of the most difficult behaviors to deal with. When someone is being irrational, they don’t listen to reason, logic, or even common sense. And until that need is fulfilled, or they snap out of it, the irrational person can be unpredictable and sometimes even dangerous.

The square root of 3 is an irrational number.

rational

How do we know that √7 is irrational? For a start, 7 is a prime number, so its only positive integer factors are 1 and 7 .

1 Answer

• Since 7 is a prime number, it has no square factors and its square root cannot be simplified.
• We can however find good rational approximations to √7 .
• This means that 83 is an economical approximation for √7 and it also means that we can use 83 to derive the continued fraction expansion of √7 :

Therefore, the square root of 7 is irrational.

let us assume that √7 be rational. thus q and p have a common factor 7. as our assumsion p & q are co prime but it has a common factor. So that √7 is an irrational.

√7 is an irrational number.

Why is the Square Root of 9 a Rational Number? This implies that the square root of 9 is a positive integer. Therefore, the square root of 9 is rational.