Question

why pie is an irrational no.​

Answer 1

★ Irrational numbers :

• The numbers that cannot be written in p/q form .

• Non terminating - The quotient never ends .

• Non recurring - The quotient has non repeating terms with no specification of pattern .

• Eg : √2 , √3 , √5 , √6 , √7 , π

★ Why is (π) or pie considered as irrational ?

According to the above given information about irrational numbers ; we will find the value of π and check if it's really an irrational .

π can be written in 2 forms :

1. ²²/₇
2. 3.14159 (direct value of pie)

When we divide ²²/₇ ; we get :

3.1415923565897932384 ................ (still continuing)

When we look at the above answer we got ; we see that :

1. Digits are non terminating
2. Digits are non recurring

Thus ; we can conclude that {π} is irrational.

Answer 2

Answer:

pie is a irrational number.

Step-by-step explanation:

there are two types of numbers on the basis of the denominator :

• rational numbers : this is set of integers which can be written in form of p/q, where q is not equal to 0. for example, 1, 1/2, 1.25, etc.
• irrational numbers : this is set of numbers whose digits are never ending after decimal like root 2 which is equal to 1.414...so on which is non-terminating decimal.

there are two types of decimal system :

• teminating decimal: the decimal which have end at some digits after decimal point . this type of decimal system are rational numbers . e.g. 1.4 , 1.55.
• non-terminating decimal: this decimal not end at any digits after decimal point. this are irrational numbers. e.g. root 2, pie which is 22/7 = 3.141...so on, 0.1010010001..., etc.

Hence, pie is a irrational number.

Hope this will help you.

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