Prove that 3 root7 is not a rational number pls answer apko corona nhi hoga bhagwan madad krega jaldi pls
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Answered by
1
Step-by-step explanation:
We have to prove that 3+
√7
is irrational.
Let us assume the opposite, that 3+
√7
is rational.
Hence 3+
√7
can be written in the form
b
a
where a and b are co-prime and b
=0
Hence 3+
√7
=
b
a
⇒
√7
=
b
a
−3
⇒
√7
=
b
a−3b
where
√7
is irrational and
b
a−3b
is rational.
Since,rational
= irrational.
This is a contradiction.
∴ Our assumption is incorrect.
Hence 3+
√7
is irrational.
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