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Simplify (square root of 2)(cube root of 2)

Simplify (square root of 2)(cube root of 2)-example-1
User Marc B
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2 Answers

3 votes

Answer:

Explanation

2(5/6)

User Michael Closson
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√(2) \sqrt[3]{2} =


= 2^{(1)/(2)} * 2^{(1)/(3)}


= 2^{(1)/(2) + (1)/(3)}


= 2^{(3)/(6) + (2)/(6)}


= 2^{(5)/(6)}


= \sqrt[6]{2^5}
User Metasequoia
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