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Cube root of 704969

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Cube root of 704969

    • Posted by Be Happy 5 years, 1 month ago

    CBSE > Class 07 > Mathematics
    • 3 answers

    Tejesh Banit 5 years, 1 month ago

    The given number 704969 can be written as 704,969 Take the last group i.e. 969 The last digit of perfect cube is 9. So, the last digit of the cube root is 9. Therefore, the rightmost digit is 9. Now take the next group i.e. 704. To find the largest cube number we can subtract from 704 so that the result is ≥0  We can subtract 83=512 from 704, because 704−512=192≥0 (If we subtract 93=729, we get 704−729=−25<0). Thus, the next neighbour digit of the answer is 8. Hence, 3√704969​=

    0Thank You

    Be Happy 5 years, 1 month ago

    Thanku

    2Thank You

    Yogita Ingle 5 years, 1 month ago

    The given number 704969 can be written as 704,969

    Take the last group i.e. 969

    The last digit of perfect cube is 9. So, the last digit of the cube root is 9.

    Therefore, the rightmost digit is 9.

    Now take the next group i.e. 704.

    To find the largest cube number we can subtract from 704 so that the result is ≥0 

    We can subtract 83=512 from 704, because 704−512=192≥0

    (If we subtract 93=729, we get 704−729=−25<0).

    Thus, the next neighbour digit of the answer is 8.

    Hence, 3√704969​=89

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