Question

cube root 2 multiply 4th root 3

Answer 1

I hope this might help you

Answer 2

$Product \: of \: \sqrt[3] {2} \:and \: \sqrt[4] {3}$

$= 2^{\frac{1}{3}} \times 3^{\frac{1}{4} }\\= 2^{\frac{1\times 4}{3\times 4} }\times 3^{\frac{1\times 3}{4\times 3}}\\= 2^{\frac{4}{12}} \times 3^{\frac{3}{12} }\\= \Big( 2^{4} \times 3^{3} \Big)^{\frac{1}{12}} \\= \Big (16 \times 27 \Big)^{\frac{1}{12}}\\= \Big (432 \Big)^{\frac{1}{12}}\\= \sqrt[12] {432}$

Therefore.,

$\red{Product \: of \: \sqrt[3] {2} \:and \: \sqrt[4] {3}}$

$\green {= \sqrt[12] {432}}$

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