Question

define irrational number when they are in the form of roots.And also tell that how we can check that the given number is irrational without using contradiction method. ​

Answer 1

Answer:

If the route of any number is terminating then this is is a irrational number

If the root of any number is non-terminating then this is a rational number

Step-by-step explanation:

by long division method we will check that the given number is irrational or rational

$\sqrt{2} = 1.41$

Answer 2

irrational number - irrational are NTNR .

NT=non terminating

NR=non repeating

so irrational numbers are the numbers which are non terminating means wo number jo kabhi khatam hi na Ho yani us number ke upar bar laga Ho and ,non repeating means jo number koi particular pattern per repeat na Kare .

EXAMPLE =√5,√2,√3,√6,√7√8√9√10..

we can find the irrational number without any contradiction very easily.

SIMPLE RULE =jo number root me hai likha Ho aur wo number UNDER ROOT SE BAHAR NA NIKAL SAKE means ki wo number jo kisi AUR NUMBER KA SQUARE NA HO kyoki agar wo kisi aur number ka square hoga to wo bahar nikal jayega UNDER ROOT se like √4=2 which is a rational.

so irrational numbers are the numbers which are in the form of root (√) and were not get out of the root is called IRRATIONAL NUMBER.

EXAMPLE =√5,√6,√7,√8√2 etc because these no. 5,6,7,8,2 are not the square of any number.....