prove that 3+2√5 is irrational number
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Answered by
1
Answer:
√5 is an irrational no and the sum of any irrational no to positive rational number is always irrational
Answered by
1
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.
Step-by-step explanation:
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