celeste6
celeste6
25-01-2018
Mathematics
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Simplify (square root of 2)(cube root of 2)
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mathstudent55
mathstudent55
25-01-2018
[tex] \sqrt{2} \sqrt[3]{2} = [/tex]
[tex] = 2^{\frac{1}{2}} \times 2^{\frac{1}{3}} [/tex]
[tex] = 2^{\frac{1}{2} + \frac{1}{3}} [/tex]
[tex] = 2^{\frac{3}{6} + \frac{2}{6}} [/tex]
[tex] = 2^{\frac{5}{6}} [/tex]
[tex] = \sqrt[6]{2^5} [/tex]
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