Question

[√(5+2×√6)+√(5−2×√6)] ÷ [√(5+2×√6)−√(5−2×√6)] = root (x/2)...Find X

Answer 1

√(5+2×√6) = (√2 + √3)
√(5-2×√6) = (√2 - √3)

[√(5+2×√6)+√(5−2×√6)] ÷ [√(5+2×√6)−√(5−2×√6)] = (√2 + √3) + (√2 - √3)/
(√2 + √3) - (√2 - √3)
= (2√2)/(2√3)
= √(2/3)
= √(1/3)/2
= √X/2

X = 1/3