Question

State which of the following sentences are statements. In case of statement, write down the truth value:
(a) Every quadratic equation has only real roots
(b) $\sqrt{-4}$ is a rational number

Answer 1

a.) Every quadratic equation has only real roots

Ans: It is a statement

It is false

The equation $x^2+x+1=0$ has $2$ imaginary roots

b.) $\sqrt{-4}$ in a rational number

Ans. It is a statement

It is false

The number $\sqrt{-4}$ is an imaginary number and rational numbers are strictly real numbers.