To determine if the sum \( \frac{3}{4} + -\sqrt{10} \) is an irrational number, we first recognize that \( \sqrt{10} \) is irrational. This is because it cannot be expressed as a fraction of two integers. The sum of a rational number \( \frac{3}{4} \) and an irrational number \( -\sqrt{10} \) is always irrational. Therefore, \( \frac{3}{4} + -\sqrt{10} \) is irrational.
Explain why the sum of 3/4+−√10
is an irrational number. Show your work and explain your reasoning in 1-2 sentences.(2 points)
1 answer
1 answer