Math, asked by akingqueen8973, 1 year ago

all surds are irrational but irrational are not surds

Answers

Answered by Divyesh123
1
By definition, a surd is a irrational root of a rational number. So we know that surds are always irrational and they are always roots.

For eg, √2 is a surd since 2 is rational and √2 is irrational.

Similarly, cube root of 9 is also a surd since 9 is rational and cube root of 9 is irrational.

On the other hand, √π is not a surd even though √π is irrational, because π is not rational.

Thus, to answer the question, every surd is a irrational number, though an irrational number may or may not be a surd.

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