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We all know the the square root of 2 is irrational. So, the answer should be no. But how do we prove it?Let's assume for contradiction that x²=2 and that x is rational. Then x can be expressed ...

Let's take a positive integer n.We can write it as a product of prime numbers:n=p₁p₂...p_r, where p₁, p₂, ..., p_r are prime factors of n.No...

Normal manipulation of inequalities does not affect the direction of the inequality such as:
addition
subtraction
multiplication or division by a positive number, 

Reminder - a cartesian equation is written in terms of x and y (e.g. y = 2x + 3) while parametric equations are written with x and y separately in terms of t.

Example: Find the cartesian ...

Finding stationary points.

You can find stationary points on a curve by differentiating the equation of the curve and finding the points at which the gradient func...