Question

Докажите, что:  $sqrt3} + 4 = sqrt{8 sqrt{3} +19$

Answer 1

$sqrt{8sqrt{3}+19}=sqrt{4^2+sqrt{3}^2+8sqrt{3}}=\ sqrt{(4+sqrt{3})^2}=4+sqrt{3}$

Answer 2

$sqrt{8 sqrt{3}+19 } = sqrt{16+8sqrt{3}+3} = sqrt{(4+ sqrt{3})^{2} } =4+sqrt{3}$