Question 4 Calculate the following without using a calculator 4.1. 60-(-15)+(-13) 4.2. -2(-3)+27+(-3)+3 4.3. -3 * sqrt[3]{-1}+49+sqrt{49} 4.4. sqrt{25}+sqrt[3]{27}-2(-3)^{0}

**4.1. Calculation of \(60 - (-15) + (-13)\)** 1. Recognize that subtracting a negative number is equivalent to addition: \[ 60 - (-15) = 60 + 15 = 75 \] 2. Now add \(-13\): \[ 75 + (-13) = 75 - 13 = 62 \] **Answer: \(62\)** --- **4.2. Calculation of \(-2(-3) + 27 + (-3) + 3\)** 1. Multiply: \[ -2(-3) = 6 \] 2. Substitute back into the expression: \[ 6 + 27 + (-3) + 3 \] 3. Perform the additions step by step: \[ 6 + 27 = 33 \] \[ 33 + (-3) = 30 \] \[ 30 + 3 = 33 \] **Answer: \(33\)** --- **4.3. Calculation of \(-3 \times \sqrt[3]{-1} + 49 + (\sqrt{49})\)** 1. Evaluate the cube root: \[ \sqrt[3]{-1} = -1 \quad \text{(since } (-1)^3 = -1\text{)} \] 2. Multiply: \[ -3 \times (-1) = 3 \] 3. Evaluate the square root: \[ \sqrt{49} = 7 \] 4. Substitute back into the expression: \[ 3 + 49 + 7 \] 5. Add them up: \[ 3 + 49 = 52 \quad \text{and} \quad 52 + 7 = 59 \] **Answer: \(59\)** --- **4.4. Calculation of \(\sqrt{25} + \sqrt[3]{27} - 2(-3)^{0}\)** 1. Evaluate the square root: \[ \sqrt{25} = 5 \] 2. Evaluate the cube root: \[ \sqrt[3]{27} = 3 \quad \text{(since } 3^3 = 27\text{)} \] 3. Compute the exponent: \[ (-3)^0 = 1 \quad \text{(any non-zero number raised to the power 0 equals 1)} \] 4. Multiply: \[ -2 \times 1 = -2 \] 5. Substitute back into the expression: \[ 5 + 3 - 2 \] 6. Perform the calculation: \[ 5 + 3 = 8 \quad \text{and} \quad 8 - 2 = 6 \] **Answer: \(6\)**