16Hit1600
Advanced MathHardSquare of a sum of surds that simplifies to an integer

Advanced Math practice question

What is the value of (√8 + √2)²?

Answer: 18

(√8 + √2)² = 8 + 2√16 + 2 = 8 + 8 + 2 = 18. (Or note √8 = 2√2, so the sum is 3√2 and its square is 18.)

Common wrong answers

If you answered 10
10 is 8 + 2, forgetting the cross term.
If you answered 14
14 uses a cross term of 4 instead of 8.
If you answered 16
16 is (√16)², squaring the product instead of the sum.

More Advanced Math questions

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