Classify the following numbers as rational or irrational with justification:
$(i)$ $10.124124.....$
$(ii)$ $1.010010001 \ldots$
A rational number between $\sqrt{2}$ and $\sqrt{3}$ is
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$(\sqrt{5}+3)^{2}$ is a $/$ an $\ldots \ldots \ldots$ number.
Simplify
$7^{\frac{1}{4}} \cdot 12^{\frac{1}{4}}$
Construct the square root spiral up to $\sqrt{6}$.