examine whether (√2+2)^2 is rational or irrational
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Now, (√2 + 2)²
= (√2)² + (2 × √2 × 2) + 2²
= 2 + 4√2 + 4
= 6 + 4√2,
which is an irrational number since √2 is an irrational number.
Hope it helps! (:
Now, (√2 + 2)²
= (√2)² + (2 × √2 × 2) + 2²
= 2 + 4√2 + 4
= 6 + 4√2,
which is an irrational number since √2 is an irrational number.
Hope it helps! (:
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