A Rational Number have the right to be made by dividing an integer by an integer.

You are watching: Is the square root of 10 a rational number

(An creature itself has actually no spring part.)


1.5 is a reasonable number since 1.5 = 3/2 (3 and also 2 space both integers)


Most numbers we usage in daily life room Rational Numbers.

You have the right to make a few rational number yourself making use of the sliders below:

Number as a fraction Rational?
5 5/1 Yes
1.75 7/4 Yes
.001 1/1000 Yes
−0.1 −1/10 Yes
0.111... 1/9 Yes
√2(square source of 2) ? NO !

Oops! The square root of 2 can not be created as a an easy fraction! and there are many an ext such numbers, and also because they room not rational they are called Irrational.

Another famous irrational number is Pi (π):


Formal an interpretation of reasonable Number

More formally us say:

A rational number is a number that can be in the form p/qwhere p and q room integers and also q is no equal come zero.

ns q p / q =
1 1 1/1 1
1 2 1/2 0.5
55 100 55/100 0.55
1 1000 1/1000 0.001
253 10 253/10 25.3
7 0 7/0 No! "q" can"t be zero!

Just remember: q can"t be zero

Using reasonable Numbers


If a rational number is quiet in the type "p/q" it can be a little complicated to use, therefore I have a special page on exactly how to:

Add, Subtract, Multiply and also Divide reasonable Numbers

Fun facts ....

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The old greek mathematician Pythagoras believed that every numbers to be rational, but one the his college student Hippasus verified (using geometry, that is thought) that you could not compose the square source of 2 together a fraction, and also so it was irrational.

But followers of Pythagoras could not accept the visibility of irrational numbers, and also it is claimed that Hippasus to be drowned at sea as a penalty from the gods!