An irrational fraction can be reduced. For example, sqrt(20)/6 = sqrt(5)/3
sqrt(27)
Irrational numbers are infinitely dense. Between any two numbers, there are infinitely many irrational numbers. So if it was claimed that some irrational, x, was the closest irrational to 6, it is possible to find an infinite number of irrationals between 6 and x. Each one of these infinite number of irrationals would be closer to 6 than x. So the search for the nearest irrational must fail.
The square root of 37.
the square root of 37
yes there is, it's between every number
It is an irrational number and lies between 6 and 7
Irrational numbers are infinitely dense. That is to say, between any two irrational (or rational) numbers there is an infinite number of irrational numbers. So, for any irrational number close to 6 it is always possible to find another that is closer; and then another that is even closer; and then another that is even closer that that, ...
There are infinite irrational numbers between 1 and 6.
It is an irrational number.
irrational
6 is a rational number.