If $a=2+\sqrt{3}$, then what is the value of $\left(a^2+a^{-2}\right)$?

Important Questions on Square and Square Roots, Cube and Cube Roots, Indices and Surds

EASY

Andhra Pradesh State Cooperative Bank Assistant

IMPORTANT

Shortcut in Quantitative Aptitude for Competition>Chapter 4 - Square and Square Roots, Cube and Cube Roots, Indices and Surds>Exercise>Q 10

If $p, q, r$ be integers such that $p^2=q^{2}r$, then:

EASY

Andhra Pradesh State Cooperative Bank Assistant

IMPORTANT

Shortcut in Quantitative Aptitude for Competition>Chapter 4 - Square and Square Roots, Cube and Cube Roots, Indices and Surds>Exercise>Q 11

What is the least number which must be subtracted from $369$ to make it a perfect cube?

MEDIUM

Andhra Pradesh State Cooperative Bank Assistant

IMPORTANT

Shortcut in Quantitative Aptitude for Competition>Chapter 4 - Square and Square Roots, Cube and Cube Roots, Indices and Surds>Exercise>Q 12

Simplify the following expression: $\sqrt{\left\{\sqrt{4\sqrt{3\sqrt{6\sqrt{{25}^{72}}}}}\right\}\times \left\{\sqrt{2\sqrt{3\sqrt{4\sqrt{9^{48}}}}}\right\}}$