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Simplify the following.(a) \(\sqrt{50}\times\sqrt{2}\) √(50) x √2(b) \(\sqrt{27}\times\sqrt{3}\) √(27) x √3(c) \(\sqrt{12}\times\sqrt{36}\)(d) \(\sqrt{24}\times\sqrt{6}\)(e) \(\sqrt{28}\times\sqrt{7}\)(f) \(\sqrt{32}\times\sqrt{2}\)(g) \(\sqrt{5}\times\sqrt{10}\times\sqrt{2}\)(h) \(\sqrt{8}\times\sqrt{5}\times\sqrt{10}\) |
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Answer» (a) \(\sqrt{25}\times2\times\sqrt{2}\) = \(\sqrt{25}\times\sqrt{2}\times\sqrt{2}\) = 5 × 2 = 10 (b) \(\sqrt{9}\times3\times\sqrt{3}\) = 3 × 3 = 9 (c) \(\sqrt{4}\times3\times6\) = 2 × \(\sqrt{3}\times6\) = \(12\sqrt{3}\) (d) \(\sqrt{6}\times4\) × \(\sqrt{6}\) = 2 × 6 = 12 (e) \(\sqrt{4\times7}\times\sqrt{7}=2\times7=14\) (f) \(\sqrt{16\times2}\times\sqrt{2}=4\times2=8\) (g) \(\sqrt{5}\times\sqrt{5}\times\sqrt{2}\times\sqrt{2}=10\) (h) \(\sqrt{4}\times\sqrt{2}\times\sqrt{5}\times\sqrt{2}\times\sqrt{5}\) = \(2\times2\times5=20\) |
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