Question

please answer this step by step​

Answer 1

Simplify:

$\implies\sqrt{2} \times \sqrt[3]{3} \times \sqrt[4]{4}$

$\implies{2}^{ \frac{1}{2} } \times {3}^{ \frac{1}{3} } \times {4}^{ \frac{1}{4} }$

$\implies{2}^{ \frac{1}{2} } \times {3}^{ \frac{1}{3} } \times {2}^{ 2 \times \frac{1}{4} }$

$\implies{2}^{ \frac{1}{2} } \times {3}^{ \frac{1}{3} } \times {2}^{ \frac{2}{4} }$

$\implies{2}^{ \frac{1}{2} } \times {3}^{ \frac{1}{3} } \times {2}^{ \frac{1}{2} }$

$\implies{2}^{ \frac{1}{2} } \times {2}^{ \frac{1}{2} } \times {3}^{ \frac{1}{3} }$

$\implies {2}^{ \frac{1}{2} + \frac{1}{2} } \times {3}^{\frac{1}{3} }$

$\implies {2}^{ \frac{1 + 1}{2} } \times {3}^{ \frac{1}{3} }$

$\implies{2}^{ \frac{2}{2} } \times {3}^{ \frac{1}{3} }$

$\implies 2 \times {3}^{ \frac{1}{3} }$

$~~~~~~~~\underline{\boxed{ \bf{\pink{2 \sqrt[3]{3}} }}}$

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Answer 2

Step-by-step explanation:

answer is in the attachment

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