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34×52×26 \sqrt{3^4 \times 5^2 \times 2^6} = _____ ?

A300

B320

C360

D400

Answer:

C. 360

Read Explanation:

34×52×26 \sqrt{3^4 \times 5^2 \times 2^6}

=(32)2×(51)2×(23)2)=\sqrt{(3^2)^2\times(5^1)^2\times(2^3)^2)}

=32×51×23=3^2\times5^1\times2^3

=9×5×8=9\times5\times8

=360=360


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