Question

Find a rational number and an irrational number that are between 9.5 and 9.7. Include the decimal approximation of the irrational number to the nearest hundredth. plz help

Answer 1

• 9.6 - rational
• √91, √92 or √93 - irrational

Explanation:

Rational number between 9.5 and 9.7:

• An easy one is 9.6

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

• 9.5^2 = 90.25
• 9.6^2= 92.16
• 9.7^2= 94.09

One of the numbers could be √91, it is not a perfect square.

Approximate value:

• √91 = 9.54