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Take an example of 24......the l.c.m of 24 is 2×2×2×3......2^3 × 3....so the cube root of 24 is 2^3 × 3.
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Find the square root of 27 in prime factorisation method:

Step I: write the prime factorisation of 27
27 = 3×3×3
Step II: From each pair of equal factors occurring in the prime factorisation, take one of the factors of three and write the product of these factors. The product so obtained is the cube root of the given number.
Thus, ∛27 =√(3×3×3) = 3
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We take an example 2^3=? we knw that, 8=2*2*2=2^3
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