If $\frac{2 \sqrt{6}-\sqrt{5}}{3 \sqrt{5}-2 \sqrt{6}}=a+b \sqrt{30},$ find the value of $a$ and $b$.
Find the value
$64^{\frac{2}{3}}$
Between two rational numbers
If $125^{x}=\frac{25}{5^{x}},$ then find the value of $x$.
Fill in the blanks so as to make each of the following statements true (Final answer only)
$\sqrt{1 \frac{25}{144}}=\ldots \ldots$