Question

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Answer 1

Step-by-step explanation:

$\sf \sqrt{125} - 4\sqrt{6} + \sqrt{294}-2\sqrt{\frac{1}{6}} \\ \\ \sf \longrightarrow \sqrt{5×25} - 4\sqrt{6} + \sqrt{49×6} - 2\frac{\sqrt{6}}{6} \\ \\ \sf \longrightarrow 5\sqrt{5} -4\sqrt{6} + 7\sqrt{6} - \frac{\sqrt{6}}{3} \\ \\ \sf \longrightarrow 5\sqrt{5} + \sqrt{6}( -4 + 7 - \frac{1}{3}) \\ \\ \sf \longrightarrow 5\sqrt{5} + \sqrt{6}(3-\frac{1}{3}) \\ \\ \sf \longrightarrow 5\sqrt{5} + \frac{8\sqrt{6}}{3} \\ \\ \sf This\:is\: required\:answer$

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