(2 root 8- 3 root 2) have power 2
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(2√8 - 3√2)²
Using algebraic identity : (x - y)² = x² - 2xy + y²
Here, x = 2√8, y = 3√2
By substituting the values :
(2√8 - 3√2)² = (2√8)² - 2(2√8)(3√8) + (3√2)²
= 4(8) - 12√(8 * 8) + 9(2)
= 32 - 12√64 + 18
= 50 - 12√64
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