Which of the following is an irritational number between five and seven square root 6 square root 12 square root 27 √36
The irrational number between five and seven is √6.
To determine which of the given options is an irrational number between 5 and 7, we need to simplify each option and check if it can be expressed as a fraction or a terminating decimal.
1. √5 ≈ 2.236: This is an irrational number, but it is not within the range of 5 and 7.
2. √6 ≈ 2.449: This is an irrational number, but it is not within the range of 5 and 7.
3. √12 ≈ 3.464: This is an irrational number, but it is not within the range of 5 and 7.
4. √27 ≈ 5.196: This is an irrational number, but it is not within the range of 5 and 7.
5. √36 = 6: This is a rational number, as it can be expressed as the fraction 6/1.
Therefore, none of the given options are an irrational number between 5 and 7.