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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) = (24 -...
AL
Answered by Aloysius L. • Maths tutor
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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
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Answered by Olufunke O. • Maths tutor
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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 #E = #U → unique solution b. ...
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Answered by Niraj G. • Maths tutor
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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 the ...
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Answered by Thanu G. • Maths tutor
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Give the name of the monomer used to make poly(chloroethene). And describe how monomer molecules form polymer molecules.

Briefly explain the etymology of hydrocarbon names and how polymers are named. The answer is therfore, chloroethene. 2. Draw a structure for chloroethene and show in diagram how chloroethene polymerises. 3. ...
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