is 3 + root 5 is a rational number
Answers
Answered by
5
no it's not...
proof.
Let us suppose 3+root 5 is rational.
=>3+root 5 is in the form of p/q where p and q are integers and q is not =0
=>root5=p/q-3
=>root 5=p-3q/q
as p, q and 3 are integers p-3q/3 is a rational number.
=>root 5 is a rational number.
but we know that root 5 is an irrational number.
this is an contradiction.
this contradiction has arisen because of our wrong assumption that 3+root 5 is a rational number.
hence 3+ root 5 is an irrational number.
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Answered by
1
Answer:
No. It is irrational.
Step-by-step explanation:
Sum or difference of a rational number and an irrational number is always irrational (rule)
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