sqaure root 4 upon 2 is rational or irrational
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10th
Maths
Real Numbers
Revisiting Irrational Numbers
Show that 4√(2) is an irrat...
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Asked on December 27, 2019 by
Vansh Mathane
Show that 4
2
is an irrational number.
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ANSWER
Assume that,
4
2
is a rational number.
Then, there exists coprime positive integers p & q such that
4
2
=
q
p
2
=
4q
p
(∵ p & q are integers)
⇒
4q
p
is rational
⇒
2
is rational
This contradict the fact that
2
is irrational. so our assumption is incorrect.
Hence 4
2
is irritational.
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Answer:
irrational
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