#### State which of the following are rational or irrational decimals.

(i) -3√2

(ii) √(256/81)

(iii) √(27×16)

(iv) √(5/36)

**Solution: **

(i)-3√2

We know that √2 is an irrational number.

So, -3√2 will also be irrational number.

(ii)√(256/81)

√(256/81) = 16/9 = 4/3

It is a rational number.

(iii)√(27×16)

√(27×16) = √(9×3×16) = 3×4√3 = 12√3

It is an irrational number.

(iv)√(5/36)

√(5/36) = √5/6

It is an irrational number.

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