Question

√​(2√​7​​​−6)​^2​​​​​+1+√​7​​​−√​(√​7​​​−3)​^2​​​​​

Answer 1

$\sqrt{(2 \sqrt{7} - 6) {}^{2} } + 1 + \sqrt{7} - \sqrt{( \sqrt{7} - 3) {}^{2} } = |6 - 2 \sqrt{7} | + 1 + \sqrt{7} - |3 - \sqrt{7} | = 6 - 2 \sqrt{7} + 1 + \sqrt{7} - 3 + \sqrt{7} = 6 - \sqrt{7} + 1 - 3 + \sqrt{7} = 6 + 1 - 3 = 4$