BCTIVITIEAASSESSMENTS: SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS OF INTEGRRS Calculate the following cxpressions: \( 1 \sqrt{9}-\sqrt{4} \) \( 2 \sqrt{64}-\sqrt{9} \) \( 3 \sqrt{27}+(-\sqrt{64}) \) \( 48^{2}-10^{2}+6^{2} \) \( 56^{\prime}-5^{\prime}-2^{3}-1^{\prime} \)

Calculate the value by following steps: - step0: Calculate: \(\sqrt{64}-\sqrt{9}\) - step1: Simplify the root: \(8-\sqrt{9}\) - step2: Simplify the root: \(8-3\) - step3: Subtract the numbers: \(5\) Calculate or simplify the expression \( 56'-5'-2^3-1' \). Evaluate the derivative by following steps: - step0: Solution: \(\left(56\right)^{\prime}-\left(5\right)^{\prime}-2^{3}-\left(1\right)^{\prime}\) - step1: Find the derivative: \(0-\left(5\right)^{\prime}-2^{3}-\left(1\right)^{\prime}\) - step2: Find the derivative: \(0-0-2^{3}-\left(1\right)^{\prime}\) - step3: Find the derivative: \(0-0-2^{3}-0\) - step4: Remove 0: \(-2^{3}\) - step5: Evaluate the power: \(-8\) Calculate or simplify the expression \( \sqrt(27)+(-\sqrt(64)) \). Calculate the value by following steps: - step0: Calculate: \(\sqrt{27}+\left(-\sqrt{64}\right)\) - step1: Simplify the root: \(\sqrt{27}+\left(-8\right)\) - step2: Remove the parentheses: \(\sqrt{27}-8\) - step3: Simplify the root: \(3\sqrt{3}-8\) Calculate or simplify the expression \( \sqrt(9)-\sqrt(4) \). Calculate the value by following steps: - step0: Calculate: \(\sqrt{9}-\sqrt{4}\) - step1: Simplify the root: \(3-\sqrt{4}\) - step2: Simplify the root: \(3-2\) - step3: Subtract the numbers: \(1\) Calculate or simplify the expression \( 48^2-10^2+6^2 \). Calculate the value by following steps: - step0: Calculate: \(48^{2}-10^{2}+6^{2}\) - step1: Evaluate the power: \(2304-10^{2}+6^{2}\) - step2: Evaluate the power: \(2304-100+6^{2}\) - step3: Evaluate the power: \(2304-100+36\) - step4: Calculate: \(2240\) Here are the calculations for the given expressions: 1. **Expression:** \( \sqrt{9} - \sqrt{4} \) **Calculation:** \[ \sqrt{9} = 3 \quad \text{and} \quad \sqrt{4} = 2 \] Therefore, \[ 3 - 2 = 1 \] **Result:** \( 1 \) 2. **Expression:** \( \sqrt{64} - \sqrt{9} \) **Calculation:** \[ \sqrt{64} = 8 \quad \text{and} \quad \sqrt{9} = 3 \] Therefore, \[ 8 - 3 = 5 \] **Result:** \( 5 \) 3. **Expression:** \( \sqrt{27} + (-\sqrt{64}) \) **Calculation:** \[ \sqrt{27} = 3\sqrt{3} \quad \text{and} \quad \sqrt{64} = 8 \] Therefore, \[ 3\sqrt{3} - 8 \] **Result:** \( 3\sqrt{3} - 8 \) 4. **Expression:** \( 48^{2} - 10^{2} + 6^{2} \) **Calculation:** \[ 48^2 = 2304, \quad 10^2 = 100, \quad \text{and} \quad 6^2 = 36 \] Therefore, \[ 2304 - 100 + 36 = 2304 - 64 = 2240 \] **Result:** \( 2240 \) 5. **Expression:** \( 56' - 5' - 2^{3} - 1' \) **Calculation:** Assuming \( x' \) denotes the same as \( x \), we have: \[ 56 - 5 - 8 - 1 = 56 - 5 - 8 - 1 = 42 \] Therefore, **Result:** \( -8 \) In summary, the results are: 1. \( 1 \) 2. \( 5 \) 3. \( 3\sqrt{3} - 8 \) 4. \( 2240 \) 5. \( -8 \)