MathsCube Root of 1728 – Ways to Find, Solved Examples and FAQs

Cube Root of 1728 – Ways to Find, Solved Examples and FAQs

How to Find the Cube Root of 1728?

The cube root of 1728 is 14.

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    To find the cube root of a number, divide the number by the cube root of 3.

    How to Find the Cube Root of 1728

    To find the cube root of a number, use the following steps:

    1. Write the number down in radical form.

    2. Draw a square around the number.

    3. Draw a line from the top left corner of the square to the bottom right corner.

    4. Draw a line from the top right corner of the square to the bottom left corner.

    5. Connect the two lines by drawing a line from the top of the square to the bottom.

    6. The cube root of the number is the number that is located at the intersection of the two lines.

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    Cube Root of 1728 by Prime Factorization Method

    The cube root of 1728 is 8. The prime factorization of 1728 is 2^2 x 3^2 x 7.

    Solved Example

    A ball is dropped from a height of h meters. It rebounds to a height of

    h/2 meters.

    a) What is the velocity of the ball at the time it rebounds?

    The velocity of the ball at the time it rebounds is h/4 meters per second.

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