Without solving, will the sum of 4.2+36−−√

be rational or irrational? Enter 1 for rational. Enter 2 for irrational. (1 point)

1 answer

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

  1. The number \( 4.2 \) is a rational number, as it can be expressed as the fraction \( \frac{42}{10} \).
  2. The square root of 36, \( \sqrt{36} \), is equal to 6, which is also a rational number.

Now, since both components (\( 4.2 \) and \( \sqrt{36} \)) are rational numbers, their sum \( 4.2 + 6 \) is also rational.

Therefore, the answer is \( 1 \) (for rational).

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