Question

√(√3 – 4)² - √(5 – √3)²​

Answer 1

$\sqrt{( \sqrt{3} - 4) {}^{2} } - \sqrt{(5 - \sqrt{3}) {}^{2} } = | \sqrt{3} - 4| - |5 - \sqrt{3} | = 4 - \sqrt{3} - 5 + \sqrt{3} = - 1$