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[" 26.The ratio of the A.M.and G.M.of th...

[" 26.The ratio of the A.M.and G.M.of the two positive numbers a and b,is "m:" n.Show that "],[qquad a:b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))" ."]

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The ratio of the A.M.and G.M.of two positive numbers a and b,is : n .Show that a :b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))

The ratio of the.A.M. and G.M. of two positive numbers a and b is m : n. Show that a: b = (m + sqrt(m^(2)-n^(2))): (m- sqrt(m^(2)-n^(2)))

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a:b=(m+ sqrt(m^2-n^2)): (m-sqrt(m^2-n^2)) .

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a:b =(m+sqrt(m^2-n^2)):(m-sqrt(m^(2)-n^2)) .

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a:b =(m+sqrt(m^2-n^2)):(m-sqrt(m^(2)-n^2)) .

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a:b =(m+sqrt(m^2-n^2)):(m-sqrt(m^(2)-n^2)) .

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a:b =(m+sqrt(m^2-n^2)):(m-sqrt(m^(2)-n^2)) .

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a : b = (m+sqrt(m^2-n^2)):(m-sqrt(m^2-n^2)) .

If the ratio of A.M. and G.M. of two positive numbers a and b is m : n, then prove that : a:b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))

If A and G are the A.M.and G.M. of two unequal positive numbers a and b, show that A>G>G^2/A