`T = \sqrt{2+\sqrt{3}} . \sqrt{2+\sqrt{2+\sqrt{3}}} . \sqrt{2 - \sqrt{2+\sqrt{3}}}`
`T = \sqrt{2+\sqrt{3}} . \sqrt{(2+\sqrt{2+\sqrt{3}})(2 - \sqrt{2} + \sqrt{3})}`
`T = \sqrt{2+\sqrt{3}} . \sqrt{4 - (2 + \sqrt{3})^2}`
`T = \sqrt{2+\sqrt{3}} . \sqrt{4 - |2 + \sqrt{3}|}`
`T = \sqrt{2 + \sqrt{3}} . \sqrt{4 - 2 - \sqrt{3}}`
`T = \sqrt{2 + \sqrt{3}} . \sqrt{2 - \sqrt{3}}`
`T = \sqrt{(2 + \sqrt{3})(2 - \sqrt{3})}`
`T = \sqrt{4 - 3}`
`T = \sqrt{1} = 1`