State whether True or False :All the following numbers are irrationals.(i) (ii) (iii) (iv)

Foundation

Mathematics Foundation

Properties of Real Number

Irrational Number

Rationalisation

Question

State whether True or False :

All the following numbers are irrationals.
(i)

\frac{2}{\sqrt{7},}

(ii)

\frac{3}{2 \sqrt{5},}

(iii)

4 + \sqrt{2}

(iv)

5 \sqrt{2}

True

False

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In all of the above questions $\sqrt{7}, \sqrt{5}, \sqrt{2}$ are a irrational numbers
And the addition, subtraction, division and product between,rational and irrational gives,an irrational number
So that all of the above are irrational numbers.

hence option A is correct.