Question

State whether the following statements are true or false. Justify your answers.
Every real number need not be a rational number

• A. True
• B. False

Answer 1

The correct option is A True

Real number are all numbers on number line

And a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

And other numbers are not rational number are called irrational number.

Then every real number need not be a rational is true

Eg: $\sqrt{3},\sqrt{2},\pi$