(2√(2)+5√(3-7√(5)and(3√(3)-√(2)+√(5) solve
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First convert both fractions to equivalent fractions (fractions with same denominator) by taking the Least Common Multiple (L.C.M) of the denominators.Here LCM of 5 and 7 is 35 (since LCM of Coprimes is their product).Now to get the equivalent fraction, take the first fraction 2/5.Think how many times the denominator will give you 35. It's 7. So mutiply numerator and denominator by 7. So we get,(2×7)/(5×7) = 14/35Similarly,(3×5)/(7×5) = 15/35We got equivalent fractions.Now subtract the equivalent fractions.14/35 - 15/35 = (14–15)/35[ Since the denominators are same, we can directly add the numerators to get the result. This is the purpose of finding equivalent fractions].= -1/35= -0.02857 is your required answer.
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