celeste6
celeste6 celeste6
  • 25-01-2018
  • Mathematics
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Simplify (square root of 2)(cube root of 2)

Simplify square root of 2cube root of 2 class=

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mathstudent55
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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