Q. 2

State which of the following are surds. Justify.

i. ii.

iii. iv.

v. vi.

Answer :

Surds are numbers left in root form (√) to express its exact value. It has an infinite number of non-recurring decimals. Therefore, surds are irrational numbers.


Therefore,


i.


It is a surd it cannot be expressed as a rational number.


ii.


It is a surd it cannot be expressed as a rational number.


iii.


It is a surd it cannot be expressed as a rational number.


iv. √256 = √162 = 16


It is not a surd it is a rational number.


v.


It is not a surd it is a rational number.


vi.


It is a surd it cannot be expressed as a rational number.


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