MathsSquare Root and Cube Root – Properties, Value Table, Calculating Method, Solved Examples & FAQs

Square Root and Cube Root – Properties, Value Table, Calculating Method, Solved Examples & FAQs

Explain in Detail :Cube Roots

A cube root is a number that, when raised to the third power, equals the original number. So, for example, the cube root of 64 is 8, because 8^3 = 64.

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    There are three cube roots of any number: one positive, one negative, and one that is the square root of the negative of the original number. So, for example, the three cube roots of -8 are 2, -2, and -2i.

    Square Root and Cube Root

    Estimating Square Root

    The square root of a number is the number that, when multiplied by itself, results in the original number. For example, the square root of 25 is 5 because 5 multiplied by itself is 25.

    To estimate the square root of a number, first round the number up to the nearest whole number. Then, find the square root of the rounded number.

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    Estimating Cube Root

    The cube root of a number is the number that when multiplied by itself three times equals the original number.

    For example, the cube root of 64 is 4 because 4 multiplied by itself three times is 64.

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

    1. Estimate the square root of the number.

    2. Take the square root of the number and multiply it by 1.5.

    3. Round up to the nearest whole number.

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