Question

Solve this question.

best answer will be marked as brainliest.​

Answer 1

3×4×root2 ×root2×12×4×root2

3×4×12×4×2root2

144×8×root2

1152root2

Answer 2

$\large{\underline{\underline{\mathfrak{\green{\sf{QUESTION:-}}}}}}$.

• Simplify the product$\sqrt[3]{2}\:×\sqrt[4]{2}\:×\sqrt[12]{32}$

$\large{\underline{\underline{\mathfrak{\sf{Solution:-}}}}}$.

$\sqrt[3]{2}\:×\sqrt[4]{2}\:×\sqrt[12]{32}$

$\implies\:(2)^{\frac{1}{3}}\:×\:(2)^{\frac{1}{4}}\:×\:(32)^{\frac{1}{12}}$

$\implies\:(2)^{\frac{1}{3}}\:×\:(2)^{\frac{1}{4}}\:×\:(2)^{\frac{5}{12}}$

$\implies\:(2)^{\frac{4+3+5}{12}}$

$\implies\:(2)^{\frac{\cancel{12}}{\cancel{12}}}$

$\implies\boxed{\boxed{\:(2)}}$