Question

state weather the following statement are true or false. justify your answers.

Q. Every irrational is a real number
Q. Every real number is an irrational number​

Answer 1

Answer:

No sorry not 1.1 it's 1.2 question no 4

Answer 2

Question:-

State weather the following statement are true or false. justify your answers.

• Q. Every irrational is a real number
• Q. Every real number is an irrational number

Required Answers:-

Statement 1.

Every irrational is a real number

$\sf{\rightarrow{True}}$

As real number contains both rational and irrational numbers, therefore, every irrational number is a real number.

Statement 2.

Every real number is an irrational number

$\sf{\rightarrow{False}}$

As we know that the real numbers include both irrational and rational numbers. Therefore, every real number cannot be an irrational number.

$\\ \large{\underline{\underline{\pmb{\purple{More \: Explanation:}}}}}$

• Real Numbers:- Real numbers are the numbers which include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers

Examples: -2 , 0 , 1 , 1/2 , 2.5 , π , √3, etc.

• Rational Numbers:- Rational numbers are numbers which are represented in p/q form where q is not equal to zero. It is also a type of real number. Any fraction with non-zero denominators is a rational number.

Examples :- 12/17, 9/11 , 3/5 , -2/17, 9/-11 , -1/5 etc.

• Irrational numbers:- Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0.

Examples:- √2, √3, √5, √11, √21, π(Pi) etc.