Question

State whether the given statement is True or False :

$4-5\sqrt{2}$ is an irrational number.

• A. True
• B. False

Answer 1

The correct option is A True

$\text{Here 4 is a rational number and}$$5\sqrt{2}$ is a $irrational$ number

And $\text{the difference of rational and irrational is always an irrational number}$

So that $(4-5\sqrt{2})$ is an irrational number.

hence option A is correct.