State whether the given statement is True or False : is an irrational number.

Foundation

Mathematics Foundation

Properties of Real Number

Irrational Number

Linear Equations in One Variable

Question

State whether the given statement is True or False :

4 - 5 \sqrt{2}

is an irrational number.

True

False

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