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i) Simplify (2 * sqrt(7))^2 ii) Find the value of ((2 * sqrt(7))^2 + 8)/(3 + sqrt(7)) in the form m + n * sqrt(7) where n and m are integers.

i) (2sqrt(7))2 = 2 sqrt(7)2 = 4 * 7 = 28      (1 mark) ii) First of all substitute the answer from above.    ((2 * sqrt(7))2 + 8) / (3 + sqrt(7)) = (...

AB
Answered by Andrew B. Maths tutor
6918 Views

Work out 64^2/3

64/4/4=4

4x4=16

n.b no square root function on my divice

TL
Answered by Thomas L. Maths tutor
2939 Views

How would you convert the decimal 0.125 into a fraction in its simplest form?

0.125 is the same as 125/1000. This is because we have to remove the decimal point before creating a fraction. So 0.125 times by 1000 is 125 and at this point the decimal point has been removed. But 125/1...

TD
Answered by Tutor61277 D. Maths tutor
212333 Views

Find the equation of the tangent to the curve y = (5x+4)/(3x-8) at the point (2, -7).

Firstly, we need to find the gradient at this point on the curve as the tangent will have the same gradient. So to find the gradient of the curve or in other words, dy/dx, we differentiate the equation. T...

MS
Answered by Manika S. Maths tutor
3330 Views

A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.

This is a typical mechanics question in an AS/A-level exam and uses the principles of SUVAT and projection.

  • We can try to calculate the maximum height reached first using the veritical compon...
AF
Answered by Aaron F. Maths tutor
5163 Views

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