Question

simplify√5+√3/2√5-3√3​

Answer 1

−2.412361888

$5+3÷2÷5−33</p><p></p><p></p><p></p><p>\sqrt{\frac{3}{2}}\approx 1.224744871\frac{\sqrt{3}}{\sqrt{2}}\approx 1.224744871</p><p></p><p>\sqrt{5}+\frac{\frac{\sqrt{3}}{\sqrt{2}}}{\sqrt{5}}-3\sqrt{3}\approx -2.4123618885+523−33≈−2.412361888</p><p></p><p></p><p></p><p>\frac{\sqrt{3}}{\sqrt{2}}\approx 1.224744871\sqrt{2}\approx 1.414213562</p><p></p><p>\sqrt{5}+\frac{\frac{\sqrt{3}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{\sqrt{5}}-3\sqrt{3}\approx -2.4123618885+5(2)232−33≈−2.412361888</p><p></p><p></p><p></p><p>\sqrt{2}\approx 1.4142135622</p><p></p><p>\sqrt{5}+\frac{\frac{\sqrt{3}\sqrt{2}}{2}}{\sqrt{5}}-3\sqrt{3}\approx -2.4123618885+5232−33≈−2.412361888</p><p></p><p></p><p></p><p>\sqrt{3}\approx 1.732050808\sqrt{2}\approx 1.414213562</p><p></p><p>\sqrt{5}+\frac{\frac{\sqrt{6}}{2}}{\sqrt{5}}-3\sqrt{3}\approx -2.4123618885+526−33≈−2.412361888</p><p></p><p></p><p></p><p>\frac{\frac{\sqrt{6}}{2}}{\sqrt{5}}\approx 0.547722558</p><p></p><p>\sqrt{5}+\frac{\sqrt{6}}{2\sqrt{5}}-3\sqrt{3}\approx -2.4123618885+256−33≈−2.412361888</p><p></p><p></p><p>\frac{\sqrt{6}}{2\sqrt{5}}\approx 0.547722558\sqrt{5}\approx 2.236067977</p><p></p><p>\sqrt{5}+\frac{\sqrt{6}\sqrt{5}}{2\left(\sqrt{5}\right)^{2}}-3\sqrt{3}\approx -2.4123618885+2(5)265−33≈−2.412361888</p><p></p><p></p><p></p><p>\sqrt{5}\approx 2.2360679775</p><p></p><p>\sqrt{5}+\frac{\sqrt{6}\sqrt{5}}{2\times 5}-3\sqrt{3}\approx -2.4123618885+2×565−33≈−2.412361888</p><p></p><p></p><p></p><p>\sqrt{6}\approx 2.449489743\sqrt{5}\approx 2.236067977</p><p></p><p>\sqrt{5}+\frac{\sqrt{30}}{2\times 5}-3\sqrt{3}\approx -2.4123618885+2×530−33≈−2.412361888</p><p></p><p></p><p></p><p>2510</p><p></p><p>\sqrt{5}+\frac{\sqrt{30}}{10}-3\sqrt{3}\approx -2.4123618885+1030−33≈−2.412361888</p><p></p><p></p><p></p><p>\sqrt{5}-3\sqrt{3}\approx -2.960084445\frac{10}{10}=1</p><p></p><p>\frac{10\left(\sqrt{5}-3\sqrt{3}\right)}{10}+\frac{\sqrt{30}}{10}\approx -2.4123618881010(5−33)+1030≈−2.412361888</p><p></p><p>\frac{10\left(\sqrt{5}-3\sqrt{3}\right)}{10}\approx -2.960084445\frac{\sqrt{30}}{10}\approx 0.547722558</p><p></p><p>\frac{10\left(\sqrt{5}-3\sqrt{3}\right)+\sqrt{30}}{10}\approx -2.4123618881010(5−33)+30≈−2.412361888</p><p></p><p></p><p></p><p>10\left(\sqrt{5}-3\sqrt{3}\right)+\sqrt{30}\approx -24.123618877</p><p></p><p>\frac{10\sqrt{5}-30\sqrt{3}+\sqrt{30}}{10}\approx -2.41236188810105−303+30≈−2.412361888</p><p></p><p>$

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