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 really need help with this question
7) please help with question. MARKING BRAINLIEST + POINTS GIVEN
Sorry for the other post
please help..........................
A slice is made parallel to the base of a right rectangular pyramid, as shown. What is the area of the resulting two-dimensional cross-section? Enter your answe
Ariel scored on 12 two-point and three-point shots. She scored 27 points in all. How many of each shot did Ariel make? Show work.
The first era of western music history in which instrumental music was as important as vocal music was the ________________.
Combine these two sentences to make one sentence with a compound subject. Selena often works late into the night. Bernardino also often works late.
The "Muckraker" journalists would have been likely to cover all of the following subjects EXCEPT
Simplify the expression. 3xy – 2xy – 5 + 7 + xy