The least number, by which 1944 must be multiplied so as to make the result a perfect cube is 

The value of   $${(75.8)^2-(55.8)^2\over20}$$

If  $$\sqrt{2}=1.414$$, the value of $${ \sqrt{2}-1\over\sqrt{2}+1}$$  is nearest to 

The smallest number that must be subtracted from 1000 to make the resulting number a perfect square is 

Simplify the following expression.

 25-(4÷2)+11.5+9.5

On simplification of   $$ {(2.664)^2-(2.356)^2\over0.288}$$

Simplify the following equation.
$$ {(100)}^{1\over2}.{(0.001)}^{1\over3}-{(0.0016)}^{1\over4}.{3}^{0}+({5\over4})^{-1} $$

If $${{k^2}\over {k^2-2k+1}}={1\over 6}$$, then what is the value of $${1\over k^3}+k3$$ ?