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

Experimental Probability I can not figure out the answer to this question! it is supposed to be about Experimental Probability, but i don't understand it! pleas
why does the burning of magnesium ribbon start the reaction between iron oxide and aluminium when making iron?
What can homeless people see,hear,feel,smell,taste
The angle of incidence (i) is _____ to the angle of the reflection (r). This is known as the Law of ______. Can someone please help me fill in the gaps?
why does drinking large volumes of plain water after exercising may affect the salt balance in the body?
95% of 160 I need help with this question
Progressive and conservative Republicans disagreed on which of the following in the early 1900s?
Why has the Minoan civilization been identified as a melting pot of cultures by archaeologists? A) Archaeologists have found skeletons suggesting that people fr
The us constitution reflects the principle of individual rights because
what is the science name for table salt