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If a, b, c be positive real numbers then prove that
Required to Prove :(a2b + b2c + c2a)(ab2 + bc2 + ca2) > 9a2b2c2or, abc(a/c + b/a + c/b ) x abc(b/c + c/a + a/b) > 9a2b2c2or, (a/c + b/a + c/b )2 > 9Proof:applying AM-GM INEQUALITY,a/c + b/a + c/b > 3Hence , squaring both sides we get the required inequality
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