Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Order each of the following sets of radicals from least to greatest?

Order each of the following sets of radicals from least to greatest

a. 4√3, √43, 2√10, 3√7, 2√11

b. 2^3√3, ^3√15, 3^3√12, 2^3√2

1 Answer

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  • 1 month ago

    4√3 = √(3 * 4²) = √48

    √43

    2√10 = √(10 * 2²) = √40

    3√7 = √(7 * 3²) = √63

    2√11 = √(11 * 2²) = √44

    √40 ; √43 ; √44 ; √48 ; √63 → 2√10 ; √43 ; 2√11 ; 4√3 ; 3√7

    2^(3√3) = (2^3)^(√3) = 8^(√3)   36.6

    ^3√15 (?)

    3^(3√12) = (3^3)^(√12) = 27^(√12) = 27^(2√3) = (27^2)^(√3) = 729^(√3)

    2^(3√2) = (2^3)^(√2) = 8^(√2) = 18.9

    8^(√2) ; 8^(√3) ; 729^(√3) → 2^(3√2) ; 2^(3√3) ; 3^(3√12)

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