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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