Question

simplify (5(8raised to par 1÷3+27raised to par 1÷3)raised to par3)raised to par 1÷4

Answer 1

So the question is
${(5({8}^{ \frac{1}{3} } + {27}^{ \frac{1}{3} } ))}^{ \frac{1}{4} }$
=
${(5 {( ({2}^{3} )}^{ \frac{1}{3} } + {( {3}^{3} )}^{ \frac{1}{3} } ) }^{ \frac{1}{4} }$
=
${(5(2 + 3))}^{ \frac{1}{4} }$
=
${25}^{ \frac{1}{4} }$
=
${( {5}^{2} )}^{ \frac{1}{4} }$
=
${5}^{ \frac{1}{2} }$
=
$\sqrt{5}$