Question

Simplifique k : $\sqrt \sqrt{6} + \sqrt{2} / \sqrt{6} - \sqrt{2}$

Answer 1

Boa noite Marcon


k = √(√6 + √2)/(√6 - √2)) 
k² = (√6 + √2)/(√6 - √2) = (√6 + √2)²/(√6 + √2)/(√6 - √2)
k² = (√6*√6 + 2√2√6  + √2√2)/(√6*√6 - √2√2)
k² = (6 + 4√3 + 2)/(6 - 2)
k² = (8 + 4√3)/4 = 2 + √3

k² - 2 = 2 + √2 - 2 = √3

E =  √12√3 = √(3*12) = √36 = 6