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Step 1 - Identify the difference between the required form of the answer and the expression to be simplified: 

It can be...

(7+√5)/(√5-1) 

In this example we are given (√5-1) as our denominator, and we want to simplify this complex fraction into the form a + b√5. 

In order to do this our first st...

Expanding something out like (x+2)(x+3) crops up everywhere in maths. Therefore it's a very important skill to develop.There are many different ways of looking at it - smily faces, rainbows, claws - to na...

Easy! We first consider which number is in the square root. Then we look at it's factors:- if any of factors are square we can immediately take their root out of the overall square root. Once all the squa...

Differentiation is a relatively easy process once you learn the basic method. The basic rule is, you multiply the coefficient of x by the exponent, which becomes the new coefficient, and then reduce th...