Question
Without solving, will the sum of 4.2+36−−√
be rational or irrational? Enter 1 for rational. Enter 2 for irrational.
Answers
GPT-4o mini
To determine whether the sum \( 4.2 + \sqrt{36} \) is rational or irrational, we first analyze each component:
1. \( 4.2 \) is a decimal number that can be expressed as a fraction \( \frac{42}{10} \), which is a rational number.
2. \( \sqrt{36} \) equals \( 6 \), which is also a rational number.
Since both \( 4.2 \) and \( \sqrt{36} \) are rational numbers, their sum \( 4.2 + \sqrt{36} = 4.2 + 6 \) will also be a rational number.
Therefore, the answer is \( 1 \) for rational.
1. \( 4.2 \) is a decimal number that can be expressed as a fraction \( \frac{42}{10} \), which is a rational number.
2. \( \sqrt{36} \) equals \( 6 \), which is also a rational number.
Since both \( 4.2 \) and \( \sqrt{36} \) are rational numbers, their sum \( 4.2 + \sqrt{36} = 4.2 + 6 \) will also be a rational number.
Therefore, the answer is \( 1 \) for rational.