Question

Represent sqrt{2} on number line ..

Answer 1

we can use : pythagoras theorem : \(\large{a^2+b^2=c^2}\)

\[\large{\sqrt{2}=\sqrt{1^2+1^2}}\]

Hence i can mention it on number line ..

But what to do after it?

Answer 2

we can use the approximate value of sqrt(2), ie., 1.414. we can represent this on the number line, can't we?

Answer 3

This is what i did? is it right?

Answer 4

looks semi-reasonable, but I'm not sure what exactly you're going for

Answer 5

newtons method of approxination

Answer 6

Actually i if i am correct in this .. I am going to ask how to represent \(\Huge{\sqrt{7.2}}\) on the number line

Answer 7

is this by chance got to do with Newtons method?

Answer 8

@Mimi_x3 and @Vaidehi09 as u both mentioned for approximation .. or approximate value of \(\large{\sqrt{2}}\) .. but m i right with that?

Answer 9

i would do it like back in the old days

chart it on a graph such that you get a line from (0,0) to (1,1)

then pivot it at the origin to arc it onto the x axis :)

Answer 10

\[\sqrt{2} => f(x) = x^2-2\]
then use newtons method to approximate it; if this is what you meant..

Answer 11

then lay out the hypotenuse sidewayssomething like that, or amistre's idea sounds good too

Answer 12

yea...going by @amistre64's method...u'll get the accurate position.

Answer 13

for mine I would use a compass to make the line exact

Answer 14

So like this .. is correct