Root 2 + root 7 is irrational number
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Step-by-step explanation:
Now let us assume that 2√7 is a rational numbers
⇒ 2√7/7 = p/q (where, p & q are integers, q not equal to 0)
⇒ 2√7 = 7p/q
⇒ √7 = 7p/2q
Here, LHS is an irrational number whereas RHS is a rational number.
So by contradiction 2√7 / 7 is an irrational number
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