Question

Evaluate:
$\left(i\right)3\sqrt{-\frac{512}{343}}$
$\left(ii\right)3\sqrt{2.197}$

Answer 1

(1)

$3\sqrt{\frac{-512}{343}}=3\sqrt{\frac{-{\left(8\right)}^3}{+{\left(7\right)}^3}}=\sqrt[3]{3{\left(\frac{-8}{7}\right)}^3}$

$=\frac{-8}{7}$

(ii)

$3\sqrt{2.197}$

$=3\sqrt{1.3\times 1.3\times 1.3}$

$=1.3$