Question

REAL NUMBERS
11
epresenting irrational numbers on Number line
ave learnt that there exist a rational number between any two rational numbers.
when two rational numbers are represented by points on number line, we can use a
esent a rational number between them. So there are infinitely many points representing
bers. It seems that the number line is consisting of points which represent rational
ly. Is it true? Can't you represent 2 on number line? Let us discuss and locate
mbers such as V2, V3 on number line.
0
Locate 2 on number line
O draw a unit square OABC on number line
each side 1 unit in length.
AB3303
agoras theorem OB=
√1² + 1² = √
2
2
1​

Answer 1

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