Question

cube root kaise nikal te hai​

Answer 1

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➠ घनमूल निकालने की विधि: घनमूल निकालने के लिए निम्न लिखित विधि को अधिकतर प्रयोग किया जाता है । इस प्रकार की विधि में किसी संख्या को छोटे छोटे गुणनखंडों में विभाजित करते हैं और प्रतियेक संख्या के 3 -3 जोड़े बनाते हैं और सभी जोड़ों में से एक संख्या लेकर आपस में गुणा करने पर प्राप्त संख्या घनमूल कहलाती है

➠ Method of extracting cube root: The following method is mostly used for extracting cube root. In this type of method, divide a number into smaller factors and 3 -3 of each number

ADDITIONAL INFORMATION

➠ the cube root gives a value which can be cubed to get the original value. Suppose, cube root of ‘a’ gives a value ‘b’, such that; 3√a = b This formula is only possible if and only if; a = b3

➠ The cube root symbol is denoted by ‘3√’. In the case of square root, we have used just the root symbol such as ‘√’, which is also called a radical. Hence, symbolically we can represent the cube root of different numbers as: Cube root of 5 = 3√5 Cube root of 11 = 3√11

Examples

Find the cube root of 216.

Solution = By prime factorisation, we know; 216 = 2×2×2×3×3×3 216 = 23×33

216 = (2×3)3 = 63

3√216 = 6