Saturday, 21 September 2013

Chap 7 CUBES AND CUBE ROOTS

Chap 7
CUBES AND CUBE ROOTS
SOME IMPORTANT FACTS
1.      The cube of a number Is that number raised to the power 3.
2.      A natural n is a perfect  cube , if n= m3 for some natural number m.
3.      The cube of even natural number is even.
4.      The cube of odd natural number is odd.
5.      The cube root of number x is the number whose cube is x. it is denoted by 3x.
6.      For finding the cube root of a perfect  cube, resolve it into prime factors, make triple of similar factors and take the product of prime factors, choosing one out of every triple.
7.      For any integer a and b, we have
i)                    3ab  = 3a  x  3b
ii)                  3a/b   =   3a/3b

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