jasyyyy jasyyyy
  • 02-12-2021
  • Mathematics
contestada

Is -2 + √3 rational or irrational?explain why.

Respuesta :

zahramalik2212 zahramalik2212
  • 02-12-2021

Answer:

It is irrational

Step-by-step explanation:

Let us assume that 2+√3 is a rational number.

A rational number can be written in the form of p/q.

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q  

p,q are integers then (p-2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So, our assumption is false.

Therefore,2+√3 is an irrational number.

Answer Link

Otras preguntas

I need an example of Alliteration in A Tale of Two Cities asap please
what were some of the common occupations,cultural practice and traditions in the south Carolina  colony
The ratio of red collars to black collars sold at one store is 9 to 10. In one month 30 black collars were sold. Is 57 a reasonable number for the total number
i dont get what evaluate 11.4n when n=5,n=6.5,and n=10.Please help
How did the Han emperors support Confucianism
What causes climate change?
How does Sac Fungi move?
Use a factor tree to find the prime factorization of 164
What is binomial nomenclature ?
What are some advantages of using less farm machinery in planting?