how to know if a number is irrational
irrational numbers are the ones that can't be written as a fraction
example?
sqrt(2) is an example. It can't be expressed as a fraction a/b where a and b are integers.
infinite numbers, like Pi, or the numbers that don't have a square root like 2
i need better example
What is wrong with sqrt(2)? Do you not understand why it's not rational?
is it because 2*2=4
sqrt(2) is a number that when multiplied by itself gives 2. As in: \[\sqrt{2}\]
so its like 2*1
No. When muliplied by itself: sqrt(2) * sqrt(2) = 2. One solution to the equation x^2 = 2
okay i need a better example i dont under stand this
an irrational number can be either an INFINITE NUMBER, like Pi
or a number without a square root, like 5
the sqaure root of somthing has to to make a square right?
perfect square
Saying pi is infinite doesn't send the right message. It's irrational because it has an infinite decimal expression without a pattern. You know a number is irrational if you can't write it as a fraction
like and improper fraction?
witch number is irrational \[\sqrt{121}\sqrt{150\sqrt{400\sqrt{1,000,000}}}\]
Simplify each of them. LIke what is sqrt(1000000) and then keep doing that until you reach a point where you can't take the square root because yu don't have a perfect square
is it 1000000
Join our real-time social learning platform and learn together with your friends!