# Which ones are irrational numbers?

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kumar_abhishek
School: Purdue University

First we should know what are rational no.s

Rational no.s are numbers which can be expressed in the form of (p/q) where p and q are integers and q is not equal to 0.

so, for a)   3/7 is a rational no. because 3/7 = p/q  and 7 is not 0 . so 4/7 is rational no.

c) ​4 =2 . therefore our no. becomes 21/2 =p/q  and 2 is not 0.  so 21/​√​4  is rational no.

e)  -13 =  ((-13)/1) =p/q   where -13 and 1 are integers and 1 is not 0 . so -13 is rational.

Now, any number in which the number after the decimal never stops or repeat is irrational number.

example   √​2 =0.414......  and it continues and nobody remembers what's coming next .

so all non perfect square numbers under root are irrational numbers.

so  b)  30 = 5*6   since 30 is not a perfect square.  therefore √30 is irrational no.

d) as for Pi ,  Pi = 3.1415......  and never repeats therefore pi is irrational no.

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Anonymous
awesome work thanks

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