Prove that √5 +√7 is irrational number
Answers
To prove:
To prove whether √5+√7 is irrational or not.
Solution:
Let us assume that √5 +√7 as rational number.
being rational, and let p/q are co-prime where q is not equal to zero (0).
√5+√7= p/q
√5=p/q-√7
√5=p-√7/q
We know that √5 is irrational while p/q form is rational.
Hence it contradicts our assumption of √5+√7 is rational.
Hence, it is proved that is irrational.
Answer:
The correct answer of this question is irrational number .
Step-by-step explanation:
Given - √5 +√7 is irrational number .
To Find - Prove that √5 +√7 is irrational number .
The number 5 is irrational, whereas the p/q form is reasonable. As a result, it contradicts our belief that 5+7 is rational. As a result, it has been established that is unreasonable.
A real number that cannot be expressed as a simple fraction is called an irrational number. It is impossible to express in terms of a ratio. If N is irrational, it is not equal to p/q, where p and q are integers and q is not zero.
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