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Express (5sqrt(3)-6)/(2sqrt(3)+3) in the form m+nsqrt(3) where m and n are integers. [Core 1]

Step 1: multiply (5sqrt(3)-6)/(2sqrt(3)+3) by (2sqrt(3)-3)/(2sqrt(3)-3) (this is a trick called CONJUGATION as you're really just multiplying the fraction by 1. Step 2: Expand and ...

MY
Answered by Mahir Y. Maths tutor
4218 Views

What's the best way to assess a source written by a historian in an exam?

It's really important that in an exam situation you read the sources very carefully; it's far too tempting to race through and miss what the historian is trying to say. When the exam starts, put your pen ...

RC
Answered by Rachel C. History tutor
3678 Views

How should I analyse a historical source?

Analysing a historical source can be very intimidating, but by simple systems it can become a far more approachable endeavour. On effective system in source analysis is using the 5W1H method, also known a...

EM
Answered by Ewen M. History tutor
3152 Views

simplify c^4 x c^3

when multiplying indices you need to add the powers (only if the base number is the same -> need to ensure they are denoted with the same letter)

4 + 3 = 7

therefore the answer is c^7

AV
Answered by Alice V. Maths tutor
7768 Views

simplify (3x^2 - x - 2) / (x^2 - 1)

factorise the top fraction: 3x^2 - x - 2 = (3x + 2)(x - 1)

factorise the bottom fraction: x^2 -1 = (x + 1)(x - 1)

cancel out the (x - 1) and the final result is (3x + 2) / (x + 1)

AV
Answered by Alice V. Maths tutor
3903 Views

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