Question

    Which of the following is the largest number among?

     
    A √ 25 - √ 23 Correct Answer Incorrect Answer
    B √ 23 - √ 21 Correct Answer Incorrect Answer
    C √ 27 - √ 25 Correct Answer Incorrect Answer
    D √ 29 - √ 27 Correct Answer Incorrect Answer

    Solution

    According to the options, Subtract form option 3 to option 4, √27 - √25 - (√29 - √27) 2√27 - √25 - √29 10.392 - 10.385 = +0.007 Clearly, we can see option 3 > 4. Subtract form option 2 to option 3, √23 - √21 - (√25 - √23) = 2√23 - √21 - √25 = 9.59 - 9.58 = +0.01 Clearly, we can see option 1 > 2. So,  option 3 > 4, option 2 > 3,  option 1 > 2 ∴ The largest number among is (√23 - √21

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