Basic Maths: Test 56

$\begin{align} & if\,\,0.6=a\,\,\,and\,\,\,0.4=b\,\,\,then, \\ & Expression\,\, \\ & =\frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}} \\ & =\frac{\left( a+b \right)\left( {{a}^{2}}-ab+{{b}^{2}} \right)}{{{a}^{2}}-ab+{{b}^{2}}}=a+b \\ & =0.6+0.4=1.0 \\ \end{align}$

$\begin{align} & =\sqrt{\frac{0.025\times 0.049\times 0.008\times 0.64}{0.002\times 0.0008\times 0.0002}} \\ & =\sqrt{\frac{25\times 49\times 8\times 64}{2\times 8\times 2}} \\ & =5\times 7\times 4 \\ & =140 \\ \end{align}$

$\begin{align} & =\frac{5.29\times 0.14}{2.3\times 1.4\times 0.23} \\ & =\frac{529\times 14}{23\times 14\times 23}=1 \\ \end{align}$

$\begin{align} & 45+5\times 0.5=? \\ & \Rightarrow 45+2.5=? \\ & \Rightarrow ?=47.5 \\ \end{align}$

$\begin{align} & 1864+423-?=1699 \\ & \Rightarrow 2287-?=1699 \\ & \Rightarrow ?=2287-1699=588 \\ \end{align}$