6th root of 12 divided by square root of 3 × cube root of 2
![\sqrt[6]{12} \div \sqrt[2]{3} \times \sqrt[3]{2}](https://tex.z-dn.net/?f=+%5Csqrt%5B6%5D%7B12%7D++%5Cdiv++%5Csqrt%5B2%5D%7B3%7D++%5Ctimes++%5Csqrt%5B3%5D%7B2%7D+ "\sqrt[6]{12} \div \sqrt[2]{3} \times \sqrt[3]{2}")
![if \: \sqrt[n]{a} \: and \: \sqrt[n]{b} \: are \: two \: surds \: of \: same \: order \: then \sqrt[n]{a} \times \: \sqrt[n]{b} = \sqrt[n]{a \times b} \: and \: \frac{ \sqrt[n]{a} }{ \sqrt[n]{b} } \: = \sqrt[n]{ \frac{a}{b} } \: where \: b \: is \: not \: equal \: to \: 0](https://tex.z-dn.net/?f=+if+%5C%3A+%5Csqrt%5Bn%5D%7Ba%7D+%5C%3A++and+%5C%3A++%5Csqrt%5Bn%5D%7Bb%7D++%5C%3A+are+%5C%3A+two+%5C%3A+surds+%5C%3A+of+%5C%3A+same+%5C%3A+order+%5C%3A+then+%5Csqrt%5Bn%5D%7Ba%7D++%5Ctimes++%5C%3A++%5Csqrt%5Bn%5D%7Bb%7D++%3D++%5Csqrt%5Bn%5D%7Ba+%5Ctimes+b%7D++%5C%3A+and+%5C%3A+++%5Cfrac%7B+%5Csqrt%5Bn%5D%7Ba%7D+%7D%7B+%5Csqrt%5Bn%5D%7Bb%7D+%7D++%5C%3A++%3D++%5Csqrt%5Bn%5D%7B+%5Cfrac%7Ba%7D%7Bb%7D+%7D++%5C%3A+where+%5C%3A+b+%5C%3A+is+%5C%3A+not+%5C%3A+equal+%5C%3A+to+%5C%3A+0 "if \: \sqrt[n]{a} \: and \: \sqrt[n]{b} \: are \: two \: surds \: of \: same \: order \: then \sqrt[n]{a} \times \: \sqrt[n]{b} = \sqrt[n]{a \times b} \: and \: \frac{ \sqrt[n]{a} }{ \sqrt[n]{b} } \: = \sqrt[n]{ \frac{a}{b} } \: where \: b \: is \: not \: equal \: to \: 0")
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