Question

cup 48the simpler from of this surd is........ ​

Answer 1

Step-by-step explanation:

When a number cannot be simplified further to remove a square root then it is a surd.

A surd is an irrational number.

For. eg: square root of 2 cannot be simplified. thus it is a surd.

By definition, a surd is an 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, the cube root of 9 is also a surd since 9 is rational and the 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 an irrational number, though an irrational number may or may not be a surd.