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2.1.1 1-2x3, 2.1.2 sqrt(16+2³), 2.1.3 [-12/-3 x (-2)²] + cbrt(11+16)

Mathematics

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Answers

3 parts
2.1
18
2.12
6
2.13

−2+183-2 + \sqrt[3]{18}

Step-by-step solution

10 steps

Part 2.1· 3 steps

  1. Given expression

    21−1×321 - 1 \times 3

  2. Perform multiplication first

    1×3=31 \times 3 = 3

    Substitute:

    21−321 - 3

  3. Perform subtraction

    21−3=1821 - 3 = 18

    18

Part 2.126

  1. Given expression

    4+22\sqrt{4} + 2^{2}

  2. Evaluate square root

    4=2\sqrt{4} = 2

    Evaluate exponent

    22=42^{2} = 4

  3. Add the results

    2+4=62 + 4 = 6

    6

Part 2.13

−2+183-2 + \sqrt[3]{18}

  1. Given expression

    −83+183\sqrt[3]{-8} + \sqrt[3]{18}

  2. Evaluate first cube root

    −83=−2\sqrt[3]{-8} = -2

    (since (−2)3=−8(-2)^3 = -8)

  3. Second cube root remains

    183\sqrt[3]{18}

  4. Add the results

    −2+183-2 + \sqrt[3]{18}

    -2 + \sqrt[3]{18}

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