Question

- root 0.4 is a rational or irrational number

Answer 1

Answer:

$-\sqrt{0.4}$ is an irrational number.

Step-by-step explanation:

Given : Number $-\sqrt{0.4}$

To find : Is the number is rational or irrational ?

Solution :

Rational numbers are the number which can be written in the form of p/q where p and q are integers and q is non-zero.

Irrational numbers are number that are not rational.

$-\sqrt{0.4}=-\sqrt{\frac{4}{10}}=-\frac{2}{\sqrt{10}}$

As $\sqrt{10}$ cannot be written in the form of p/q so it is irrational number.

Therefore, $-\sqrt{0.4}$ is an irrational number.

Answer 2

Answer:

$- \sqrt{0.4} \\ = - \sqrt{ \frac{4}{10} } \\ = - \frac{2}{ \sqrt{10} } \\ it \: is \: an \: irrational \: number$

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