The 4th and 6th numbers are the only irrational numbers present
Here, we want to place the numbers into groups
Generally, irrational numbers are numbers that cannot be expressed as a ratio of two integers
Surds are square roots of non-perfect squares
Perfect squares are numbers that have integer roots
Integers are generally whole numbers, positive or negative
Let us take the numbers one after the other;
a) Since root 25 will give an integer square root, then 3 root 25 is a rational number
b) -11/151
This is the ratio of two integers and as such, it is a rational number
c) This is a recursive decimal
the term 1625 keeps recurring
A recurring decimal is a rational number as it can be expressed as the ratio of two numbers using methods of algebra
d) This is not a rational number as it cannot be expressed as the ratio of two integers. We can only have an approximation in this case
e) 256 is a perfect square and as such will give integers as its square root value
f) 141 is not a perfect square and as such, its root is a surd and thus, will not give an integer square root value
