Algebra Question #16

Algebra Level 2

If 2 + √(2) = √(6 + √(a) ) . Find a .

Algebra Question


The answer is 32.

Paul Ryan Longhas by Paul Ryan Longhas , 24, Philippines

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2 solutions

Vasudev Chandna
Mar 20, 2015

The trick in this question is that the root is on (6+√a) whole.

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The value of 2 + √(2) = √4 + √2. Let x = √4 + √2 => x^2 = 6 + 2√8 = 6 + √32 => x=√(6+√32). So, √a = √32. Therefore, a = 32.

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