Without solving will the sum of 4.2 + √36 be rational irrational one for rational two for your rational

Answer 1

To determine whether the sum of \( 4.2 + \sqrt{36} \) is rational or irrational, we first evaluate each component:

1. \( 4.2 \) is a decimal number and can be expressed as a fraction, specifically \( \frac{42}{10} \), which is rational.

2. \( \sqrt{36} \) equals \( 6 \), which is also a whole number and therefore rational.

Now, the sum of two rational numbers (in this case, \( 4.2 \) and \( 6 \)) is always rational.

Therefore, the sum \( 4.2 + \sqrt{36} \) is rational.