Question

Expand:
$(\sqrt{3}+\sqrt{2})^{4}$

Answer 1

Answer:

49 + 20√6

Step-by-step explanation:

Hi,

Using the binomial expansion of (a + b)ⁿ,

here a = √3 , b = √2 and n = 4 , we get

(√3 + √2)⁴ = ⁴C₀(√3)⁴ + ⁴C₁(√3)³(√2) + ⁴C₂(√3)²(√2)² + ⁴C₃(√3)(√2)³

+ ⁴C₄(√2)⁴

On simplifying the terms, we get

= 9 + 4*3√3*√2 + 6*3*2 + 4*√3*2√2 + 4

On simplifying, we get

= 49 + 20√6

Hope, it helps !