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5 votes
5 votes
Is 10x √19 rational?

User Weizhi
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1 Answer

25 votes
25 votes

Answer:

The product of a non-zero rational and an irrational number is always irrational. So;


10*\sqrt[]{19}\text{ }\rightarrow\text{ Irrational}

Step-by-step explanation:

We wnat to determine whether the number below is a rational o irrational number.


10*\sqrt[]{19}

Note that 10 is ratioanal and root 19 is irrational;


\begin{gathered} 10\text{ }\rightarrow\text{ rational} \\ \sqrt[]{19}\text{ }\rightarrow\text{ irrational} \end{gathered}

Recall that the product of a non-zero rational and an irrational number is always irrational. So;


10*\sqrt[]{19}\text{ }\rightarrow\text{ Irrational}

User Mikithskegg
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3.0k points