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.

    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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