Prove that root 5+ root 7 are irrational
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easy and simple.
Let 5+√7 be a rational number
Now 5+√7=a/b
a/b-5=√7
a-5b/b=√7.
Now if p is a +ve prime then √p is irrational.
Therefore √7 is irrational.
Hence, 5+√7 is an irrational number.
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Let 5+√7 be a rational number
Now 5+√7=a/b
a/b-5=√7
a-5b/b=√7.
Now if p is a +ve prime then √p is irrational.
Therefore √7 is irrational.
Hence, 5+√7 is an irrational number.
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this is your answer.........☺☺☺☺
Dhruvsolanki004:
The number is root 5 and root 7
not 5+root 7
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