Answer:
The irrational numbers are √1/2, √1/8 and √1/10
Step-by-step explanation:
Rational numbers are numbers that can be written as a simple ratio. If the ratio is simplified further into decimal, the numbers in the decimal do not occur repeatedly.
Irrational numbers are opposite. Irrational numbers are are numbers that cannot be written as a simple ratio. If the ratio is simplified further into decimal, the numbers in the decimal occur repeatedly.
Looking at the numbers given above,
1) √1/16 = 1/4 = 0.25
It is rational because it is expressed in simple ratio and the numbers in the decimal do not occur repeatedly.
2) √1/2 = 1/√2 = 0.70710678119
It is irrational because it cannot be expressed in simple ratio and the numbers in the decimal occur repeatedly.
3) √1/8 = 1/√8 = 0.35355339059
It is irrational because it cannot be expressed in simple ratio and the numbers in the decimal occur repeatedly.
4) √1/10 = 1/√10= 0.31622776602
It is irrational because it cannot be expressed in simple ratio and the numbers in the decimal occur repeatedly.
5) √1/4 = 1/4 = 0.5
It is rational because it is expressed in simple ratio and the numbers in the decimal do not occur repeatedly.
