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Answer:
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Step-by-step explanation:
b = .125 which is rational
a is irrational because the square root of a prime number is irrational.
If c = 225....
then adding 2 rational numbers = rational sum
But adding (or multiplying) an irrational number to a rational number = irrational number.
The a +b is irrational because the sum of rational and irrational number is 'a' irrational number and b + c is rational because adding two rational number is rational, as c is the rational number.
What is an irrational number?
It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
We have:
20b = 2.5
b = 0.125
a = √20
c = 225
= a + b
= √20 + 0.125
Here 'a' is irrational because the square root of a prime number is irrational.
And b is the rational number
The sum of rational and irrational number is 'a' irrational number.
= b + c
= 0.125 + 225
b = 0.125 which is rational
Adding to rational number is rational, as c is the rational number.
Thus, the a +b is irrational because the sum of rational and irrational number is 'a' irrational number and b + c is rational because adding two rational number is rational, as c is the rational number.
Learn more about the irrational number here:
brainly.com/question/17450097
#SPJ2
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