psalmy07
psalmy07 psalmy07
  • 17-04-2022
  • Mathematics
contestada

Define a rational number and show that no rational number x belongs to Q satisfies x² = 2​

Respuesta :

rubahassan583
rubahassan583 rubahassan583
  • 17-04-2022

Answer:

A rational number is a number that can be expressed as a fraction of two integers.

if  x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.

Step-by-step explanation:

Answer Link

Otras preguntas

Complete the sentence. For self-driving cars, both the programmers of the software and governments who regulate them must adhere to intellectual property laws
On of his art paper, Russell colored red, blue, yellow, and green in equal amounts of space. What part of Russell's paper was blue?
Make a script for a commercial for a perfume
Which TWO sentences use verbs correctly?The pictures are lovely and looks great!If Toni went to beauty school, she could get her license.If I was a hairdresser,
Find the distance between (-2, -2) and (0, 5) to the nearest tenth.
How many x-intercepts would the function shown below have? f(x)=x^2(x^2-3)(x+4)(x^2+4)(6x+5) f(x)=x 2 (x 2 −3)(x+4)(x 2 +4)(6x+5)
The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?
What is the value of x?
1s22s22p63s23p3 what element does this represent
what are samples of a graphic organizer? what do we mean it's sample?​