1.

On simplifying (√5+2)², we get :-95+2√57+4√59+4√5​

Answer»

GIVEN :-

  • (√5 + 2)²

Solution :-

APPLY IDENTIFY : (a + b)² = a² + b² + 2ab

→ (√5 + 2)²

→ (√5)² + (2)² + 2 × √5 + 2

→ 5 + 4 + 4√5

→ 9 + 4√5

Some Identities

  • (a - b)² = a² + b² - 2ab
  • a² - b² = (a + b)(a - b)
  • (a + b)³ = a³ + b³ + 3ab(a + b)
  • (a - b)³ = a³ - b³ - 3ab(a - b)


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