Question 158023This question is from textbook Heart of Mathematics
: show that the square root of 2/3(two thirds)is irrational
This question is from textbook Heart of Mathematics
Answer by integral13(8)   (Show Source):
You can put this solution on YOUR website! To begin with:
Rational numbers are basically numbers that DO NOT go on repeating.
For example: 1/2, 3/4, these are numbers/fractions that when divided DO NOT go on repeating.
However, IRrational numbers are numbers that DO go on with repeating decimal.
For example, pi= 3.140596 is an irrational numbers because it DOES GO ON REPEATING.
2/3=.6666666, and because it goes on with a repeating decimal, and the SQUARE ROOT OF THAT NUMBER= .81649...
THEREFORE, IT IS IRRATIONAL.
Hope this helps,
INTEGRAL13
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