3+2√5 prove that the rational and irrational number
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3+2√5 prove that the rational and irrational number
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Step-by-step explanation:
ANSWER
Prove 3+2
5
is irrational.
→ let take that 3+2
5
is rational number
→ so, we can write this answer as
⇒3+2
5
=
b
a
Here a & b use two coprime number and b
=0.
⇒2
5
=
b
a
−3
⇒2
5
=
b
a−3b
∴
5
=
2b
a−3b
Here a and b are integer so
2b
a−3b
is a rational number so
5
should be rational number but
5
is a irrational number so it is contradict
- Hence 3+2
5
is irrational