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The positive square root of $$(\sqrt{48}-\sqrt{45})$$ is
$$\frac{\sqrt[4]{3}}{2} (\sqrt{5}-\sqrt{3})$$
$$\frac{\sqrt[4]{3}}{\sqrt{2}}(\sqrt{5}-\sqrt{3})$$
$$\frac{\sqrt{2}}{\sqrt[4]{3}}(\sqrt{5}-\sqrt{3})$$
$$\frac{\sqrt{2}}{\sqrt[4]{3}}(\sqrt{5} + \sqrt{3})$$
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