Find the cube root of each of the following numbers by prime factorisation method.
(ix) 175616
(ix) By prime factorisation, we have
175616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7
= 2 x 2 x 2 x 7 = 56
Thus, the cube root of 175616 is 56
Find the cube root of each of the following numbers by prime factorisation method.
(viii) 46656
(viii) By prime factorisation, we have
46656 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
∴ 2 x 2 x 3 x 3 = 36
Thus, the cube root of 46656 is 32
Find the cube root of each of the following numbers by prime factorisation method.
(x) 91125
(ix) By prime factorisation, we have
91125 = 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5
∴ 3 x 3 x 5 = 45
Thus, the cube root of 91125 is 45.
State true or false
(i) Cube of any odd number is even.
(ii) A perfect cube does not end with two zeros
(iii) If square of a number ends with 5, then its cube ends with 25.
(iii) If square of a number ends with 5, then its cube ends with 25.
(iii) If square of a number ends with 5, then its cube ends with 25.
(vi) The cube of a two digit number may have seven or more digits.
(vii) The cube of a single digit number may be a single digit number.
B.
(ii) A perfect cube does not end with two zeros
G.
(vii) The cube of a single digit number may be a single digit number.