Solve the equation $m=\frac{1}{\sqrt{5}+\sqrt{3}}+\frac{-2}{\sqrt{7}+\sqrt{3}}+\frac{1}{\sqrt{7}+\sqrt{5}}$

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$L.C.M.=\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}+\sqrt{5}\right)$

Learn how to solve equations problems step by step online. Solve the equation m=1/(5^(1/2)+3^(1/2))+-2/(7^(1/2)+3^(1/2))1/(7^(1/2)+5^(1/2)). The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Simplify the numerators. Combine and simplify all terms in the same fraction with common denominator \left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}+\sqrt{5}\right).