List of top Mathematics Questions on Surds and Indices

What will come in the place of question mark in the following question ?
\[ \sqrt{726} + \sqrt{294} + \sqrt{1176} + \sqrt{486} - \sqrt{600} = (?) \]
If \(x=2+\sqrt3,\ y=2-\sqrt3\), then the value of \(x^{-3}+y^{-3}\) is
The value of \(\sqrt[5]{\dfrac{72.9}{0.4096}}\) is
If \(9^{\frac{1}{2}} - 2^{2x - 2} = 4^{x} - 3^{2x - 3}\), then \(x\) is:
If \(\sqrt{x + 6\sqrt{2}} - \sqrt{x - 6\sqrt{2}} = 2\sqrt{2}\), then \(x\) equals:
If \(\sqrt{2n} = 16\), then the value of \(n\) is
\(\sqrt{3}\) is
What number shall you get in the unit digit on solving the following problem:
\[ (6374)^{1793 \times (625)^{317} \times (341)^{491}} \]
If \( x = \left(\dfrac{3}{2}\right)^{2}\left(\dfrac{2}{3}\right)^{-4} \), the value of \( x^{-2} \) is
The value of \( \frac{1}{x^2} + \frac{1}{y^2} \), where \( x = 2+\sqrt{3} \) and \( y = 2-\sqrt{3} \), is