Simplify: [(-12/-3) x (-2)2] + cuberoot(11 + 16)

Mathematics
Simplify: [(-12/-3) x (-2)2] + cuberoot(11 + 16)

ScanSolve AI Answer

Answer

48+33-48 + 3\sqrt{3}

Step 1: Compute the power (2)2(-2)^2.
(2)2=4(-2)^2 = 4
Substitute:
[12×4]+11+16\left[ -12 \times 4 \right] + \sqrt{11 + 16}

Step 2: Multiply inside the brackets.
12×4=48-12 \times 4 = -48
So,
48+11+16-48 + \sqrt{11 + 16}

Step 3: Add inside the square root.
11+16=2711 + 16 = 27
So,
48+27-48 + \sqrt{27}

Step 4: Simplify the square root.
27=9×3=9×3=33\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}
So,
48+33-48 + 3\sqrt{3}

-48 + 3\sqrt{3}

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Quick Answer

Compute the power (-2)^2. (-2)^2 = 4 Substitute: [ -12 × 4 ] + sqrt(11 + 16) Step 2: Multiply inside the brackets.

Simplify: [(-12/-3) x (-2)2] + cuberoot(11 + 16)
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Compute the power (-2)^2. (-2)^2 = 4 Substitute: [ -12 × 4 ] + sqrt(11 + 16) Step 2: Multiply inside the brackets. -12 × 4 = -48 So, -48 + sqrt(11 + 16) Step 3: Add inside the square root. 11 + 16 = 27 So, -48 + sqrt(27) Step 4: Simplify the square root. sqrt(27) = sqrt(9 × 3) = sqrt(9) × sqrt(3) = 3sqrt(3) So, -48 + 3sqrt(3) -48 + 3sqrt(3)