Root 5 is a irrational number
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true,root 5 is a irrational number
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yes ..
Because,
Let's first assume it to be a rational number
√5=a/b(a,b are co-prime integer and b≠0)
a=b√5
a²=5b²
Now
a²=25c²
5b²=25c²
b²=5c²
-------->5 is the factor of b²
--------->5 is the factor of b
therefore 5 is a common factor of a, b
but this contradiction the fact that a, b are co-primes
Hence ✓5 is irrational
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