Question

Choose the most suitable option for Surd.

• A. Irrational number that cannot be written as $\frac{p}{q}$, where $p,q$ are integers and $q$ cannot be $0$
• B. Irrational number that can be written as $\frac{p}{q}$, where $p,q$ are integers and $q$ cannot be $0$
• C. Rational number that cannot be written as $\frac{p}{q}$, where $p,q$ are integers and $q$ cannot be $0$
• D. Rational number that can be written as $\frac{p}{q}$, where $p,q$ are integers and $q$ cannot be $0$

Answer 1

The correct option is A Irrational number that cannot be written as $\frac{p}{q}$, where $p,q$ are integers and $q$ cannot be $0$

$n^{th}$ root of a positive integer $a$ can be written as $a^{1/n}$ or $\sqrt[n]{na}$.

If a number of the form $a^{1/n}$ cannot be written in the form of $\frac{p}{q}$, where $p,q$ are integers and $q$ cannot be $0$, it is a type of irrational number called $\text{Surd}$.