If \(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m
Given that f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\), find the value of f o g(3)
\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1, find the value of x
A binary operation * is defined on the set of real numbers, R by x * y = \(\frac{y^2 - x^2}{2xy}\), x, y ≠ 0, where x and y are real numbers. Evaluate -3 * 2
If the n\(^{th}\) term of a linear sequence (A.P) is (5n - 2), find the sum of the first 12 terms of the sequence.