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How do you add and multiply surds?

When you add and subtract surds, the numbers inside the square root must be the same. You add/ subtract the number outside the square root. e.g. 2√5 + 7√5 = 9√5, however 2√5 + 7√3 cannot be added. when you m...
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Answered by Grace C. • Maths tutor
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Two identical cuboids have dimensions of 4cm by 6cm by 12cm. What is their combined volume?

4cm*6cm = 24cm 2 (End face) 24cm 2 *12cm = 288cm 3 (Volume of one cuboid) 288cm 3 *2 = 576cm 3 (Volume of two cuboids)
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Answered by Alex G. • Maths tutor
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Solve the simultaneous equations: x^2 + y^2 = 25 and y − 2x = 5

x 2 +y 2 =25, y-2x= 5 y = 5+2x -----> y 2 = (5+2x) 2 = 25 + 20x +4x 2 x 2 + 4x 2 + 20x + 25 = 25 5x 2 + 20 x = 0 x = 0 y = 5+(2*0) y=5
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Answered by Alex G. • Maths tutor
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a) Factorise the following expression (x^2)-49 b) Differentiate the following equation y = (x^2) - 49 and find the stationary points of the equation

a) (x+7)(x-7) b) y = (x^2) - 49 y' = 2x 0 = 2x x = 0 y = (0^2) - 49 y = -49, x = 0
TG
Answered by Thomas G. • Maths tutor
3673 Views

Show that (sqrt(3) + sqrt(75))^{2} = 108

The key here is to simplify the left hand side. There are two different approaches to take here, one slightly faster but both perfectly legitimate. First approach: Remember the formula (a + b)^{2} = a^{2} + ...
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Answered by Callum B. • Maths tutor
6740 Views