Answer:

Hence, the square root of 5+2√6 is (√3+√2).13-Jul-2019

Verified answer

Answer:

Step-by-step explanation:

x= √(2 + √5) + √(2-√5) and y= √(2+√5)-√(2-√5)

let √(2 + √5) = a and  √(2-√5) =b
∴ x= a+b and y= a-b
x²+y² = (a+b)² + (a-b)²
         = a²+b²+2ab+a²+b²-2ab

         = 2(a²+b²)

         =2(2+√5+2-√5)

         =2×4 = 8