Question

the sqaure root of 2 is a rational number true or false

Answer 1

can you express sqrt 2 as a quotient of two INTEGERS?

Answer 2

@heartbreak do you know what's a rational number?

Answer 3

The square root of 2, often known as root 2 or radical 2 and written as , is the positive algebraic number that, when multiplied by itself, gives the number 2. It is more precisely called the principal square root of 2, to distinguish it from the negative number with the same property.

Answer 4

..lol...

Answer 5

Geometrically the square root of 2 is the length of a diagonal across a square with sides of one unit of length; this follows from the Pythagorean theorem. It was probably the first number known to be irrational. Its numerical value truncated to 65 decimal places is:
1.41421356237309504880168872420969807856967187537694807317667973799... (sequence A002193 in OEIS)

ucan see here
http://en.wikipedia.org/wiki/Square_root_of_2

Answer 6

@best.shakir I don't see, how this is answering the question here!

Answer 7

ok so it's true @best.shakir

Answer 8

i ment false

Answer 9

Yeah @heartbreak do you know the reason?

Answer 10

http://www.google.co.in/search?q=the+sqaure+root+of+2+is+a+rational+number+true+or+false&sugexp=chrome,mod=13&sourceid=chrome&ie=UTF-8#hl=en&sa=X&ei=jYgaULmQOdGTiQecyoDYBg&ved=0CF0QvwUoAQ&q=the+square+root+of+2+is+a+rational+number+true+or+false&spell=1&bav=on.2,or.r_gc.r_pw.r_qf.&fp=c1c3f7fb4c60f5a4&biw=1024&bih=485

Answer 11

no

Answer 12

see down of the first link

Answer 13

@ash2326 did u see

Answer 14

@heartbreak a rational number is of the form
\[\frac ab\]
where a and b are positive or negative integers
Some example of a rational no.= 2, 3, -1, 4/6, 7/8 etc.
do you get this?

Answer 15

yes i understand thank you

Answer 16

now, if we try to find the root of 2,
\[\sqrt 2=??\]
it can't be expressed as a rational no.

Answer 17

yes beacuse i did that and i got 1.41

Answer 18

it's not just 1.41 but it'll have infinite digits after 1 too. that's why it can't be expressed as a/b
had it been just 1.41=141/100 =rational

Answer 19

o ok

Answer 20

do you get my point?

Answer 21

yes