Question:

Simplify this equation.?

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Sqaure root of 3/2 + 4 sqaure root of 2/3 + the sqaure root of 24

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  1. sqrt(3 / 2) + 4 sqrt(2 / 3) + sqrt(24)

    = sqrt(3) / sqrt(2) + 4 sqrt(2) / sqrt(3) + sqrt(24)

    = [ sqrt(3)sqrt(3) + 4 sqrt(2)sqrt(2) ] / [ sqrt(2)sqrt(3) ] + sqrt(24)

    = (3 + 8) /  sqrt(6) + sqrt(6)sqrt(4)

    = 11 sqrt(6) / 6 + 2 sqrt(6)

    = [11 sqrt(6) + 12 sqrt(6) ] / 6

    = 23 sqrt(6) / 6.

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