Find two rational numbers between √2 and √3.

To find two rational numbers between √2 and √3, we first need to determine their approximate values. √2 is about 1.414, and √3 is approximately 1.732.

Identifying Rational Numbers

Rational numbers are numbers that can be expressed as a fraction of two integers. Here are two rational numbers that lie between these two square roots:

• 1.5 (which is 3/2)
• 1.6 (which is 8/5)

Verification

Both 1.5 and 1.6 are greater than √2 and less than √3, making them valid choices. You can also find many other rational numbers in this range by selecting different fractions or decimals.