Examine whether root 2 plus 2 square is rational or irrational

GIven: √2 + 2²

To find: Examine whether it is rational or irrational

Solution:

√2 is an irrational number

The sum of any rational number and any irrational number will always be an irrational number.

So √2 + 2² is also an irrational number

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Updated on: 10-Oct-2022

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