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Mark has a voucher that gives him 22% off the prices at a hardware store. Estimate how much he will pay for an electric drill that normally costs £87.99. (non-calculator) (3)

It is important to remember this is an estimate, so we can simplify the numbers by saying they get 20% off and the drill costs £90. (1) 10% off would be £9, so 20% off is £18. (1) They have 20% off so they p...
JF
Answered by Jake F. • Maths tutor
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Simplify (7+sqrt(5))/(sqrt(5)-1), leaving the answer in the form a+b*sqrt(5)

Step 1 - Identify the difference bet ween the required form of the answer and the expression to be simplified: It can be seen that in order to simplify the expression we need to somehow get rid of the denomi...
IR
Answered by Ian R. • Maths tutor
21989 Views

C1 - Simplifying a fraction that has a root on the denominator

(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 step is to elimate the denominator. To...
CM
Answered by Claudia M. • Maths tutor
6082 Views

How do I expand out a pair of brackets?

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 name ...
CW
Answered by Cordelia W. • Maths tutor
6862 Views

How do I simplify surds?

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 square ...
CW
Answered by Cordelia W. • Maths tutor
8325 Views