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(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...

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...

FIrslty to avoid confusion:

x = the variable x

X = multiplication.

When you differentiate an equation, the derivative (answer) is referred to as...

There is a subtle point to be made here, which comes down to double counting. The addition rule:Pr(A union B) = Pr(A)+Pr(B)-Pr(A intersection B)allows us to work out the probability that either event A or...

              Take a general function f(x) = ax²+bx+c

   First thing to do with every problem is sit back and think a bit: there are usually several ways to solve a problem but one will l...