Q.

State whether the given statement is true/false:

Every surd is irrational.

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a

True

b

False

answer is A.

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Detailed Solution

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The above statement is true.

A surd is an irrational root of a rational number. So we know that surds are always irrational and they are always roots.

For example, the square root of 2 i.e. √2 is a surd since 2 is rational and the square root of 2 is irrational.

Therefore, every surd is irrational.

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