Question

Determine if the solution is rational or irrational.
√8+ √8
Rational
Irrational

Answer 1

Irrational

Explanation:

`√(8) =√(4 \cdot 2) = √(4) \cdot √(2) = 2√(2)` and this is irrational

So
`√(8) + √(8) = 2√(8) = 2 \cdot 2√(2) = 4√(2)` which is irrational

(adding an irrational number to anything gives an irrational number)