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Standard XII
Mathematics
Mathematical Statement
Prove that √(...
Question
Prove that \sqrt n is not a rational number,if n is not a perfect square
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Q.
If
tan
α
=
√
a
, where
a
is a rational number which is not a perfect square, then which of the following is a rational number ?
Q.
State whether the following statements are true or false.
√
n
is not irrational if n is a perfect square
Q.
Find the negation of the statement - 'There exists a rational number x such that its square is 2 '.
Q.
If
tan
α
=
√
α
, where
α
is a rational number which is not a perfect square then which of the following is a rational number?
Q.
Write the converse of contrapositive of the statement "if
n
is an even number, then square of
n
is also an even number. "
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