1. Solve the squares: - $2^2 = 4$ - $5^2 = 25$ - $10^2 = 100$ - $2.4^2 = 5.76$ 2. Find the area of a square box with side 1050 mm: - Area formula: $\text{Area} = \text{side}^2$ - Calculate: $1050^2 = 1,102,500$ mm² 3. Simplify the square root expressions: - $\sqrt{3} + \sqrt{7}$ (cannot simplify further) - $\sqrt{10} - \sqrt{5}$ (cannot simplify further) - $\frac{\sqrt{14}}{\sqrt{5}} = \sqrt{\frac{14}{5}}$ - $\frac{\sqrt{20} - \sqrt{10}}{\sqrt{31}}$ 4. Check if any answers from 47, 48, 53, 54 are perfect squares: - None of these expressions simplify to perfect squares. 5. Largest circle inside a square with area 169 cm²: - Side length $s = \sqrt{169} = 13$ cm - Largest circle radius = half the side = $\frac{13}{2} = 6.5$ cm 6. Warehouse area 2940 m² divided into 15 equal square sections: - Area per section = $\frac{2940}{15} = 196$ m² - Side length per section = $\sqrt{196} = 14$ m 7. Part 4 calculations: - 1a. $\sqrt{\frac{0}{9}} = \sqrt{0} = 0$ - 1b. $\sqrt{144} \times \sqrt{1} = 12 \times 1 = 12$ - 1c. $\sqrt{225} + \sqrt{4} = 15 + 2 = 17$ - 2a. $\sqrt{78^2} = 78$ - 2b. $\sqrt{144} \times \sqrt{169} = 12 \times 13 = 156$ - 2c. $\frac{\sqrt{121}}{\sqrt{144}} = \frac{11}{12}$ - 3a. $\sqrt{\frac{1350}{6}} = \sqrt{225} = 15$ - 3b. $\sqrt{\frac{150^2}{6}} = \sqrt{\frac{22500}{6}} = \sqrt{3750} \approx 61.24$ - 3c. $\sqrt{100} + \sqrt{100} = 10 + 10 = 20$ - 4a. $\sqrt{125 - 25} = \sqrt{100} = 10$ - 4b. $\sqrt{44^2} = 44$ - 4c. $\sqrt{25} \times \sqrt{100} = 5 \times 10 = 50$ - 5a. $\sqrt{\frac{252}{7}} = \sqrt{36} = 6$ - 5b. $\frac{\sqrt{1}}{\sqrt{16}} = \frac{1}{4} = 0.25$ - 5c. $\sqrt{21^2} = 21$ 8. Check which answers from 1a to 5c are perfect squares: - Perfect squares are: 0, 12 (no), 17 (no), 78 (no), 156 (no), 11/12 (no), 15 (no), approx 61.24 (no), 20 (no), 10 (no), 44 (no), 50 (no), 6 (no), 0.25 (no), 21 (no) - Only $0$ is a perfect square (since $0 = 0^2$). Final answers summarized: - Squares: 4, 25, 100, 5.76 - Area box: 1,102,500 mm² - Simplified roots: as above - Largest circle radius: 6.5 cm - Warehouse section side: 14 m - Part 4 results: as above - Perfect squares found: 0