Math, asked by Saniyapatri, 1 year ago

The square of a irrational number is always irrational . This is true or false​

Answers

Answered by sayak2k1moyoukh
2

Answer:false

Step-by-step explanation:

Take an example.

WE KNOW √2 IS A IRRATIONAL NUMBER.

BUT,

(√2)²=2.

EVERY BODY KNOW THAT 2 IS A RATIONAL NUMBER.

SI THE STATEMENT IS NOT ALWAYS TRUE.


sayak2k1moyoukh: Why you report it?
Saniyapatri: root 12 is not a rational number as root 12 and root 3 are not integer . This is true or false
sayak2k1moyoukh: √12=2√3
sayak2k1moyoukh: As√3 is an IRRATIONAL NUMBER
sayak2k1moyoukh: And rational*irrational=irrational
sayak2k1moyoukh: So √12 is not a rational
sayak2k1moyoukh: You have a wrong concept that 1.5 is also not a integer .but it is a rational number as it can be written as p/q form 1.5=15/10=3/2
sayak2k1moyoukh: If a number can be written as p/q where p and q areINTEGER and G.C.M of p,q is 1 then it is a rational number.
sayak2k1moyoukh: Those real number who cannot written as previous they are irrational.
sayak2k1moyoukh: Do you understand?
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