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How can you add and subtract fractions with surds in them?

The square root sign can make fractions look a bit scary until you're familiar with it, that's the same with anything new! The important thing to remember is, the rules of algebra are the same - there are ju...
DH
Answered by Daisy H. • Maths tutor
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what is the point of intersection between the lines 3y-4x=12 and 2x=2y+3

As these are simultaneous equations you will need to get a coefficient of either x or y on one side and then substitute it within the other equation. Using the second equation you can divide by 2 leading to ...
BG
Answered by Benedict G. • Maths tutor
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Area of a shaded trapezium within a rectangle involving algebra.

I have a labelled screenshot of how to go about this question
OO
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Find the coordinates of the point where lines 3x+5=y and 6y+x=11 intersect

To find the coordinates of the point, we have to solve the equations simultaneously. To do this, we need the same number for the coefficient of x or y in each equation. Arbitrarily, we will chose to match th...
AP
Answered by Adeoluwa P. • Maths tutor
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Write down the value of 27^(-2/3)

We are trying to solve 27 -2/3 . Firstly, using the index rule a xy = (a x ) y , this can be rewritten as (27 1/3 ) -2 . Lets tackle the value inside the bracket first: 27 1/3 means the cube root of 27, and ...
ML
Answered by Matt L. • Maths tutor
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