Question

Simplify this expression...
(√5+√2)^2​

Answer 1

To Simplify :

• (√5 + √2)²

Solution :

✬ Here we are given to Simplify the expression (√5 + √2)². By using the suitable identity that is (a + b)² = a² + 2ab + b² By using this identity we can Easily simplify the Given expression.

⟾ (a + b)² = a² + 2ab + b²

⟾ (√5)² + 2√5√2 + (√2)²

⟾ 5 + 2√10 + 2

⟾ 7+ 2√10

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More Identities :

• (a + b)² = a² + 2ab + b²

• (a − b)² = a² − 2ab + b²

• (a + b)(a – b) = a² – b²

• (x + a)(x + b) = x² + (a + b)x + ab

• (x + a)(x – b) = x² + (a – b)x – ab

• (x – a)(x + b) = x² + (b – a)x – ab

• (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)

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