Numbers Between Rational Numbers Practice

Math 8 Q1 (Pre-Algebra) / The Number System

Which of the following is an irrational number between 5 and 7: 6√, 12−−√, 27−−√, 36−−√?(1 point)

The irrational number between 5 and 7 is 6√.

wrong

I apologize for the previous incorrect response.

The correct answer is:

The irrational number between 5 and 7 is 12−−√.

To determine which of the given numbers is an irrational number between 5 and 7, we need to find their approximate values.

First, let's calculate the square roots of the given numbers:

√6 ≈ 2.449
√12 ≈ 3.464
√27 ≈ 5.196
√36 = 6

Now, we can see that √6 is greater than 5 but less than 7, so it is an irrational number between 5 and 7.

Thus, the correct answer is 6√.