- Prove that √3 is irrational?

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In an AP, the sum of the first n terms, denoted by U1, is given by U1 = n^2 + 8n. Find the first term and the common difference.? Find the magnitude and the direction of R? Can I use a 240v (ac) solid state relay to switch on12volt dc? Square root of 162? Find the height of a rhombus with a side 10cm and a diagonal 12 cm?