Question

find one rational number between -1/3 and (1/2)2 square
plz answer asap​

Answer 1

Step-by-step explanation:

Given two positive numbers X and 1/X, the number 1 will always lie between the two numbers. And 1 is clearly rational, equal the ratio 1/1.

But if you take the average of the two numbers, you will obviously find a number between the two numbers… and in this case, the result is irrational.

(sqrt(2) + 1/sqrt(2)) / 2 = (sqrt(2) ^ 2 / sqrt(2) + 1 / sqrt(2)) / 2

= ((sqrt(2) ^ 2 + 1) / sqrt(2)) / 2

= ((2 + 1) / sqrt(2)) / 2

= 1.5 / sqrt(2)

A rational divided by an irrational gives us another irrational.