Question

Find an irrational number that is between 7.7 and 7.9. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answer 1

`√(60)`, which is 7.745966692414834 and continuing.

Explanation:

An irrational number is one that cannot be displayed on a simple fraction, so the easiest way to find an irrational number is to square root a number which is not a perfect square.

Answer 2

An answer could be 7.7899775796… because it is not a terminating or repeating decimal.