1. Which of the following numbers is not a cube of a rational number?a) 2764 b) 12527 c) 0.001331 d) 0.04
Question
1. Which of the following numbers is not a cube of a rational number?
a) 2764
b) 12527
c) 0.001331
d) 0.04
Solution
To find out which of the numbers is not a cube of a rational number, we need to find the cube root of each number.
a) The cube root of 2764 is 14, which is a rational number. b) The cube root of 12527 is 23, which is a rational number. c) The cube root of 0.001331 is 0.11, which is a rational number. d) The cube root of 0.04 is approximately 0.34, which is not a perfect cube of a rational number.
So, the number 0.04 is not a cube of a rational number.
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