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Prove the square root of 2 is irrational

Explain proof by contradictionAssume sqrt(2) is rational i.e. can be expressed as the ratio of two integers: a/bUse algebraic steps to find this statement results in a contradictionirrationality proved by contradiction

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Prove the square root of 2 is irrational

Related Maths A Level answers

Given that (2x + 11 )/(2x + 1)(x + 3) ≡ A /(2x + 1) + B /(x + 3) , find the values of the constants A and B. Hence show that the integral from 0 to 2 (2x + 11)/ (2x + 1)(x + 3) dx = ln 15.

The Curve C has equation y = 3x^4 - 8x^3 -3. Find the first and second derivative w.r.t x and verify that y has a stationary point when x = 2. Determine the nature of this stationary point, giving a reason for your answer.

Express 1/((x^2)(1-3x) in partial fractions.

A girl kicks a ball at a horizontal speed of 15ms^1 off of a ledge 20m above the ground. What is the horizontal displacement of the ball when it hits the ground?

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