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

The options are relational/irrational and is equal to an integer/has a square root-example-1

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

because, the quotient has an integer in its denominator

Step-by-step explanation

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


(p)/(q)

hence

for


(20)/(√(16))

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


\begin{gathered} (20)/(√(16)) \\ \frac{20}{\sqrt[]{16}}=(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

User Yurii Semeniuk
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