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Arrange in descending order - sqrt8-sq...

Arrange in descending order -
`sqrt8-sqrt5,sqrt6-sqrt7,sqrt9-sqrt4,sqrt(11)-sqrt2,sqrt(10)-sqrt3`

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To arrange the expressions \( \sqrt{8} - \sqrt{5}, \sqrt{6} - \sqrt{7}, \sqrt{9} - \sqrt{4}, \sqrt{11} - \sqrt{2}, \sqrt{10} - \sqrt{3} \) in descending order, we will first calculate the approximate values of each expression. ### Step 1: Calculate \( \sqrt{8} - \sqrt{5} \) - \( \sqrt{8} \approx 2.828 \) - \( \sqrt{5} \approx 2.236 \) - \( \sqrt{8} - \sqrt{5} \approx 2.828 - 2.236 = 0.592 \) ### Step 2: Calculate \( \sqrt{6} - \sqrt{7} \) - \( \sqrt{6} \approx 2.449 \) - \( \sqrt{7} \approx 2.646 \) - \( \sqrt{6} - \sqrt{7} \approx 2.449 - 2.646 = -0.197 \) ### Step 3: Calculate \( \sqrt{9} - \sqrt{4} \) - \( \sqrt{9} = 3 \) - \( \sqrt{4} = 2 \) - \( \sqrt{9} - \sqrt{4} = 3 - 2 = 1 \) ### Step 4: Calculate \( \sqrt{11} - \sqrt{2} \) - \( \sqrt{11} \approx 3.317 \) - \( \sqrt{2} \approx 1.414 \) - \( \sqrt{11} - \sqrt{2} \approx 3.317 - 1.414 = 1.903 \) ### Step 5: Calculate \( \sqrt{10} - \sqrt{3} \) - \( \sqrt{10} \approx 3.162 \) - \( \sqrt{3} \approx 1.732 \) - \( \sqrt{10} - \sqrt{3} \approx 3.162 - 1.732 = 1.430 \) ### Step 6: List the calculated values - \( \sqrt{8} - \sqrt{5} \approx 0.592 \) - \( \sqrt{6} - \sqrt{7} \approx -0.197 \) - \( \sqrt{9} - \sqrt{4} = 1 \) - \( \sqrt{11} - \sqrt{2} \approx 1.903 \) - \( \sqrt{10} - \sqrt{3} \approx 1.430 \) ### Step 7: Arrange in descending order Now, we can arrange these values in descending order: 1. \( \sqrt{11} - \sqrt{2} \approx 1.903 \) 2. \( \sqrt{10} - \sqrt{3} \approx 1.430 \) 3. \( \sqrt{9} - \sqrt{4} = 1 \) 4. \( \sqrt{8} - \sqrt{5} \approx 0.592 \) 5. \( \sqrt{6} - \sqrt{7} \approx -0.197 \) ### Final Answer The expressions arranged in descending order are: 1. \( \sqrt{11} - \sqrt{2} \) 2. \( \sqrt{10} - \sqrt{3} \) 3. \( \sqrt{9} - \sqrt{4} \) 4. \( \sqrt{8} - \sqrt{5} \) 5. \( \sqrt{6} - \sqrt{7} \)
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