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Which of the following is not irrational ?
Question

Which of the following is not irrational ?

A.

√10

B.

√24

C.

√35

D.

√121

Correct option is D

Solution:


Given:

We need to identify which of the given options is not an irrational number.

Formula Used:

A number is irrational if it cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating. A square root of a number is not irrational if the number is a perfect square.

Solution:

1. Option A: 10\sqrt{10}
 10 is not a perfect square.
10 \sqrt{10}​ is irrational.

2. Option B: 24\sqrt{24}
- 24 is not a perfect square.
- 24\sqrt{24} is irrational.

3. Option C: 35\sqrt{35}
- 35 is not a perfect square.
- 35\sqrt{35}​ is irrational.

4. Option D: 121\sqrt{121}
- 121 is a perfect square (121=112)( 121 = 11^2 )
- 121=11\sqrt{121} = 11​ , which is a rational number.

Final Answer:

Option D: 121\sqrt{121}

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