Question

The options are relational/irrational and is equal to an integer/has a square root in its denominator

Answer 1

$\text{the quotient }\frac{20}{\sqrt[]{16}}\text{ is an rational number}$

because, the quotient has an integer in its denominator

Explanation

A rational number is a number that is expressed as the ratio of two integers

$\frac{p}{q}$

hence

for

$\frac{20}{\sqrt{16}}$

we can solve the root in the denominator, so we have

$\begin{gathered} \frac{20}{\sqrt{16}} \\ \frac{20}{\sqrt[]{16}}=\frac{20}{4} \end{gathered}$

so, as the number can be expressed as the ratio of two integers ( 20 and 4) we can conclude

$\text{the quotient }\frac{20}{\sqrt[]{16}}\text{ is a rational number}$

because, the quotient has an integer in its denominator

I hope this helps you