Question

Choose the correct one:

A.

Sum of two irrational numbers is an irrational.

B.

Sum of two irrational numbers is always a rational.

C.

Sum of two irrational numbers is not always an irrational.

D.

None of the above

Correct option is C

The correct answer is: (c) Sum of two irrational numbers is not always an irrational.

Explanation: The sum of two irrational numbers is usually irrational, but this is not always true.

Example 1: If you add-

 

then the result is zero, which is rational.

Example 2: Adding two different irrational numbers, such as-

which would result in an irrational number.

As a result, the sum of two irrational numbers is determined by the numbers themselves.

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