Discussion

Explanation:

x = 1 + √2 + √3

⇒ x - 1 = √2 + √3

Squaring both sides, we get

⇒ x² – 2x + 1 = 2 + 3 + 2√6

⇒ x² – 2x - 4 = 2√6

Again, squaring both sides, we get

⇒ x⁴ + 4x² + 16 – 4x³ – 8x² + 16x = 24.

⇒ x⁴ – 4x³ - 4x² + 16x + 16 = 24.

⇒ x⁴ – 4x³ - 4x² + 16x = 8.

Now, we have 

x⁴ – 4x³ – 4x² + 16x + 8 = 8 + 8 = 16.

Hence, 16.

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