2. Prove that 3+2 V5 is an irrational number.
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Answered by
0
Let us assume that 3 + 2 root 5 is irrational number.
Now,let 3+2root 5=a/b b is not equal to 0
2root5 =a/b_3
root5=a/2b_3/2
since A and B are integers therefore a / 2 b_ 3 /2 is a rational number.
root5 is an irrational no.
So,3+2root5 is an irrational no. .
Answered by
3
Answer:
Yes, 3 + 2√5 is a irrational number.
Step-by-step explanation:
Let assume 3 + 2√5 is a rational number.
So,
[Where p and q are integers, q ≠ 0 & p and q are co-prime numbers.]
We know that is rational number. But we also know √5 is irrational number.
And we also know Irrational ≠ rational
Hence, our assumption is wrong
3 + 2√5 is a irrational number.
#answerwithquality
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