Question

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Answer 1

$3)\\ \\ a)\quad \sqrt{173^2-52^2} = \sqrt{(173-52)(173+52)} = \\ \\ = \sqrt{121\cdot 225} = 11\cdot 15 = 165\\ \\\\ b)\quad \sqrt[3]{373^2-252^2} = \sqrt[3]{(373-252)(373+252)} = \\ \\ = \sqrt[3]{121\cdot 625}= \sqrt[3]{11^2\cdot 25^2} = \sqrt[3]{11^2\cdot 5^2\cdot 5^2} = \sqrt[3]{75625}\\ \\\\c)\quad \sqrt{(242,5)^2-(46,5)^2} =\sqrt{(242,5-46,5)(242,5+46,5)} = \\ \\ = \sqrt{196\cdot 289} = \sqrt{14^2\cdot 17^2} = 14\cdot 17 = 238$