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Maths
GCSE

Simplify fully: (24 - √ 300)/(4√ 3 - 5). Give your answer in the form a√ b where a and b are integers and find the values of a and b.

rationalise the denominator (remove the surds) by multiplying by a fraction = 1, known as the rationalising factor = (24 - √ 300)/(4√ 3 - 5) * (4√ 3 + 5)/(4√ 3 + 5) = (24 - √ 300)(4√ 3 + 5)/(48 - 25) = (2...

AL
Answered by Aloysius L. Maths tutor
5737 Views

Solve the simultaneous equations. 2x + y = 18 . x - y = 6

x = 6 + y
2(6+y) + y = 18
12+2y+y = 18
3y = 18-12
3y=6
y = 6/3 = 2. So y = 2 if y = 2 then x is = ?
x - y = 6 so, x-2 = 6
so x is 6+ 2 = 8
x = 8 and y = 2<...

OO
Answered by Olufunke O. Maths tutor
2612 Views

Lottie has a bag of applies. She gives half of them to Fred. Fred eats two and then has four left. How many apples did Lottie have at the start?

General method
1.     Write the information down in equation form defining unique symbols to represent the unknowns2.     DOF analysis: Count the number of equations and unknowns? a.     If...

NG
Answered by Niraj G. Maths tutor
4497 Views

Express 12.5% as a fraction.

To make a percentage into a fraction you divide it by 100. This means 12.5% is 12.5/100. However, when giving fractions as an answer it needs to be done in the simplest form. To do this you need to find t...

TG
Answered by Thanu G. Maths tutor
73051 Views

what is 49^(-3/2) simplified?

so the first step would be to deal with the minus in the indice, which gives you the reciprocal making it1/49^(3/2)you then approach the rest of the indice which is 3/2, the simplest way to do this is to ...

CF
Answered by Cora F. Maths tutor
7039 Views

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