Question

Simplify (√5 + √2)²

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Answer 1

Step-by-step explanation:

(√5+√2)²

√5²+√2²+2.√5.√2

5+2+2√10

7+2√10

Answer 2

Answer:-

(√5 + √2)²

= (√5)² + 2(√5)(√2) + (√2)²

[∵ Identity: (a + b)² = a² + b² + 2ab]

= 5 + 2√10 + 2

= 7 + 2√10

More Identities:-

• (a - b)² = a² - 2ab + b²
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ac)
• (x + a)(x + b) = x² + (a + b)x + ab
• (a + b)³ = a³ + b³ + 3ab(a + b)
• (a - b)³ = a³ - b³ - 3ab(a - b)
• a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ac)
• 4ab = (a + b)² - (a - b)²
• 2(a² + b²) = (a + b)² + (a - b)²