Question

simplify
$\sqrt[5]{32} \times \sqrt[5]{243}$
​

Answer 1

Given :

• $\sqrt[5]{32} × \sqrt[5]{243}$

To find :

• $\sqrt[5]{32} × \sqrt[5]{243}$

According to the question :

⟹ $\sqrt[5]{32} × \sqrt[5]{243}$

⟹ $\sqrt[5 × 5 ]{243}$

⟹ $\sqrt[5^2]{243}$

⟹ $\sqrt[25]{243}$

⟹ ${2 × 3}$

⟹ $\bold{6}$

So, It's Done !!

Answer 2

Solution:-

${ \dashrightarrow{ \bf{ \sqrt[5]{32} \times \sqrt[5]{243} }}}$

Now,

${ \dashrightarrow{ \bf{ \sqrt[5]{32 \times 243} }}}$

${ \dashrightarrow{ \bf{ \sqrt[5]{7776} }}}$

{ here, 7776/6 = 1296; 1296/6 =216; 216/6 = 36; 36/6 = 6; 6/6 = 1 }

${ \dashrightarrow{ \bf{ \sqrt[5]{6 \times 6 \times 6 \times 6 \times 6 } }}}$

${ \dashrightarrow{ \bf{ 6 } }}$

Hence,

${ \dashrightarrow{ \bf{ \sqrt[5]{32} \times \sqrt[5]{243} = 6 } }}$