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Q: Irrational number between 5 and 6?

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sqrt(5) and sqrt(6)

6/5 is a rational number

You could place the radical of 5.5 between them. I hardly see how this helps though.

No

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.

Because 5 out of 6 or 5/6 as a fraction is a rational number and irrational numbers can't be expressed as fractions.

yes there is, it's between every number

The square root of 37.

the square root of 37

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, ...

It is an irrational number and lies between 6 and 7

2*pi is one possible answer.

It is a rational number because it can be expressed as fraction in the form of 6/5

An irrational fraction can be reduced. For example, sqrt(20)/6 = sqrt(5)/3

No, it is a rational number because 1.2 can be expressed as a fraction in the form of 6/5

No, it is irrational.

There are infinite irrational numbers between 1 and 6.

Two irrational numbers between 0 and 1 could be 1/sqrt(2), Ï�/6 and many more.

-5/6 is a rational number expressed as a fraction

The square root of 29 is an irrational number, close to (but not equal to) 5.385; on a number line, this is a point between 5 and 6 closer to 5 than 6. The number can also be represented as a continued fraction. You can find a link to an image of this representation below.

No. Any fraction with integers in the numerator and in the denominator is, by definition, RATIONAL.

irrational

6 is a rational number.

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.