List of top Mathematics Questions on Surds and Indices asked in CLAT

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
The value of \( \frac{1}{x^2} + \frac{1}{y^2} \) where \( x = 2 + \sqrt{3} \) and \( y = 2 - \sqrt{3} \) is

If \(x=\left(\dfrac{3}{2}\right)^{-2}\div\left(\dfrac{2}{3}\right)^{-4}\), the value of \(x^{2}\) is