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(B) The given statement is false.To determine if the number is rational,we must simplify the expression first.$\frac{\sqrt{15}}{\sqrt{3}} = \sqrt{\fra

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False

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(B) The given statement is false.To determine if the number is rational,we must simplify the expression first.$\frac{\sqrt{15}}{\sqrt{3}} = \sqrt{\frac{15}{3}} = \sqrt{5}$.Since $\sqrt{5}$ is not a perfect square,it is an irrational number.$A$ rational number is defined as a number that can be expressed in the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q 
eq 0$.In the expression $\frac{\sqrt{5}}{1}$,although it is in the form $\frac{p}{q}$,the numerator $p = \sqrt{5}$ is not an integer.Therefore,$\frac{\sqrt{15}}{\sqrt{3}}$ is an irrational number.

State whether the following statement is true or false. Justify your answer.
$\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q},$ where $q \neq 0,$ so it is a rational number.

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State whether the following statement is true or false. Justify your answer.$\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q},$ where $q \neq 0,$ so it is a rational number.