Question

If $\sqrt{2}=1.414,\sqrt{3}=1.732,$ then the value of $\frac{4}{3\sqrt{3}-2\sqrt{2}}+\frac{3}{3\sqrt{3}+2\sqrt{2}}$ is 1.063 If true then enter $1$ and if false then enter $0$

Answer 1

$\Rightarrow \sqrt{2}=1.414,\sqrt{3}=1.732$
$\therefore \frac{4}{3\sqrt{3}-2\sqrt{2}}$ + $\frac{3}{3\sqrt{3}+2\sqrt{2}}$
$\Rightarrow \frac{4}{3\ast 1.732-2\ast 1.414}+\frac{3}{3\ast 1.732+2\ast 1.414}$
$\Rightarrow \frac{4}{5.196-2.828}+\frac{3}{5.196+2.828}$
$\Rightarrow \frac{4}{2.368}+\frac{3}{8.024}$
$\Rightarrow 1.960+0.373=2.063$