$(2 + √2 + √6)^2 - (√2 + √6)^2 = ?$

Correct answer marked below

4 + 4√2 + 4√6

Correct

4 + 4√2 + 6√6

4 - 2√2 + √6

4 + 2√2 - √6

√2 + √6

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Explanation

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Official Explanation

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To solve this, let (2 + √2) be a, and (√6) be b. We can rewrite the expression as (2 + √2 + √6)^2 - (√2 + √6)^2 = ((2 + √2)^2 + 2( (2 + √2)(√6))…

Comments

ZaberMay 17, 2024

Greatt

MrinmoyApr 29, 2025

thank you for sharing

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.