Answer
given below
Work Step by Step
The subtraction of square roots is defined as the difference of coefficients multiplied with the common square root when the square roots possess same radicand.
Example:
Consider two irrational numbers\[5\sqrt{3},\sqrt{3}\].
Subtraction of above numbers is calculated as:
\[\begin{align}
& 5\sqrt{3}-\sqrt{3}=\left( 5-1 \right)\sqrt{3} \\
& =4\sqrt{3}
\end{align}\]
Thus, the subtraction of any two irrational numbers is may or may not be an irrational number.
