prove that (3+5√2) is an irrational number, given that √2 is an irrational number.
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Answer:
The proof is given
Step-by-step explanation:
Given = √2 is irrational
To prove = 3 +5√2 is irrational
Proof = 5√2 is irrational.
The product of a rational and the irrational is irrational.
3 is rational number.
By the contradict proof we can say (3 + 5√√2) is irrational number.
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