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    What type of number is the sum of √ 2 and (3-√ 2) ?
    Question

    What type of number is the sum of √ 2 and (3-√ 2) ?

    A.

    an irrational number

    B.

    a rational number

    C.

    neither rational nor irrational

    D.

    cannot be determined

    Correct option is B

    Given
    First number = 2\sqrt{2}​​
    Second number = 323 - \sqrt{2}​​

    Formula Used
    Addition of real numbers.
    A rational number can be expressed as a fraction of two integers.

    Solution
    Find the sum of the two given numbers:
    Sum = 2+(32)\sqrt{2} + (3 - \sqrt{2})​​
    Sum = 22+3 \sqrt{2} - \sqrt{2} + 3​​
    Sum = 3
    Since 3 can be written as 31\frac{3}{1}​, it is an integer and therefore a rational number.

    Final Answer
    So the correct answer is (b)

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