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Maths
GCSE

How do I rationalised and simplify surds?

Say I have a fraction with 2 surds, such as √10 / √6. To rationalise this, we need to get the dominator (bottom fraction) to be an integer. As √10 / √6 x 1 still gives √10 / √6, and we can write 1 as √6 /...

TG
Answered by Tabitha G. Maths tutor
4177 Views

Ian earns £420 a week after a 5% rise. What was his pay before?

Ian had a 5% rise, so £420 = 105% of his original pay 

To find 1% of his original earnings, divide £420 by 105.

Multiply this by 100 to find his old pay: 
1% of his original earnings =...

HS
Answered by Haris S. Maths tutor
6945 Views

Solve x^2+2x-4, leaving your answer in the simplist surd form. (4marks)

  1. Simplist surd form means use Quadratic equation

  2. Write out Quadratic equation

  3. Write out value of a, b and c

  4. Fit these values into equation

    DR
    Answered by Desnie R. Maths tutor
    2933 Views

Why is n^0 always 1 and not 0?

Anything raised to the zeroth power is a difficult thing to get your head around. The easiest explanation (not a full proof) is to look at what happens as we go down in powers of n: n^3=nnn      ...

JC
Answered by Joseph C. Maths tutor
3951 Views

Sketch the curve y = x^2 - 6x + 5, identifying roots and minima/maxima.

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