Question

Without solving, will the sum of 4.2+36−−√
be rational or irrational? Enter 1 for rational. Enter 2 for irrational

Answer 1

To determine whether the sum of 4.2 and the square root of 36 is rational or irrational, we will examine the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, where the denominator is not zero. An irrational number cannot be expressed as a fraction and often involves a non-recurring and non-terminating decimal expansion.

The square root of 36 is 6. Since 6 is a rational number (can be expressed as 6/1), and adding a rational number to another rational number results in a rational number, the sum of 4.2 and √36 is rational.

Therefore, the answer is 1 for rational.