Ever wondered how to discover the value of the square root of 2 using simple algebraic rules?
I’ve been through plenty of maths books and 99.9% of them haven’t demonstrated how this feat can be accomplished.
Today I’m going to share with you the methods which you can use to find the value of irrational numbers as continued fractions, and in the process you will learn how to write the value of the square root of 2 as a continued fraction.
Notice that what we’re ultimately doing in both cases is multiplying the surd within a fraction by 1. When the value of the numerator is exactly the same as the value of the denominator in a fraction, what you have is 1.
You should know that 1/1, 2/2, 3/3, (a+b)/(a+b) are all equal to 1.