In this tutorial we talk about what cardinality of a set means, then we go through how to find the number of elements in the union of two sets, by using the formula |A|+|B|-|A and B|=|A or B|.
Another challenging surds problem. Full explanation provided. Do you have a better way to solve it? Let me know.
A problem involving subtracting surds to infinity.. guaranteed to hurt your brain! good luck. full solutions provided.
Hi all, an interesting surds question I came across recently, have fun doing it! Full working out solution provided in the end.
In this final lesson of surds, we talk about how to rationalise demoniators when they are the sum of 2 surds, by using their conjugates.
In this lesson we talk about how to rationalise the denominator (turn the denominator of a fraction from a surd into a rational number).
In this lesson we expand brackets involving Surds using the distributive law.
In this video we talk about how to divide surds (or simplify fractions involving surds). We also do problems mixed with division and multiplication.
In this lesson we talk about how to multiply surds in more detail (involving algebra). We also talk about how when you square root a number the answer can be both positive and negative. Finally you get to do a problem solving question (yay).
In this video we talk more in detail about the addition and subtraction of surds. In particular we do examples where we have to simplify the surds first before we can add or subtract. We also finish off with examples where we factorise the final answer.