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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 simplify top and botton to ...
MY
Answered by Mahir Y. • Maths tutor
4761 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 dow...
RC
Answered by Rachel C. • History tutor
4248 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 as “...
EM
Answered by Ewen M. • History tutor
3843 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
9023 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
4399 Views