Which of the following is an irrational number between 5 and 7:

√6, √12, √27, √36?

The irrational number between 5 and 7 is √6.

Wrong

I apologize for the mistake. The correct irrational number between 5 and 7 is √6.

It was √27

You are correct. I apologize for the mistake. The correct irrational number between 5 and 7 is √27. Thank you for correcting me.

What is the largest integer whose square root is an irrational number between 3 and 4?

The largest integer whose square root is an irrational number between 3 and 4 is 15.

Find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.

To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we first add the numbers:

2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4

Next, we divide the sum by 2:

17/4 ÷ 2 = 17/4 × 1/2 = 17/8

So, a rational number between 2 and 2 1/4 using this method is 17/8, which can be written as a mixed number as 2 1/8.

Find a rational number with one decimal place that is between √17 and √18.