Question

Calcule a raiz indicada:
$\sqrt[9]{a8} ^{3} \sqrt{t} ^{7} \sqrt[3]{48} \sqrt {x} ^{12}$

Answer 1

$\sqrt[9]{a 8^{3} } = (a 8^{3} )^{ \frac{1}{9} } = (a^{ \frac{1}{9} }) ( 8^{3} )^{ \frac{1}{9} } = \sqrt[9]{a} ( 8^{ \frac{1}{3} } ) = \sqrt[9]{a} \sqrt[3]{ 2^{3} } = 2\sqrt[9]{a}$

$\sqrt{ t^{7} } = (t^{7})^{ \frac{1}{2} } = t^{ \frac{7}{2} }$

$\sqrt[3]{48} = \sqrt[3]{ 2^{3} * 6} = 2 \sqrt[3]{6}$

$\sqrt{ x^{12} } = ( x^{12} )^{ \frac{1}{2}} = x^{ \frac{12}{2} } = x^{6}$