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Prove that √R is irrational (Part 1)

Find the rational number x such that: 5/6 (x+3/5) = 5/6x+1/2

Find rational numbers between

Distributive Property
a(b+c) = ab + ac
The rational numbers are terminating
If the denominator has only 2 or 5, it's terminating
If the denominator has anything other than 2 or 5 its recurring
Rational Numbers
They are integers which can be represented as p/q where q≠0
they either repeat in a set or terminate
Irrational Numbers
They are recurring and repeating but they never repeat in patterns, cannot be represented as p/q