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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 / √6...
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Answered by Tabitha G. • Maths tutor
4892 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 = 420/105 = £4 Original ea...
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Answered by Haris S. • Maths tutor
7896 Views

Solve for x, 5sin(x) - 3cos(x) = 2 , in the interval 0<x<2pi

5sin(x)-3cos(x)=2 Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@ Rcos@ =5 Rsin@ = 3 tan@ = 3/5 @=tan -1 (3/5)= 0.540 R = sqrt(5 2 +3 2 )= sqrt(34) sqrt(34)sin(x-0.540) = 2 sin(x - 0.540) = 0.343 L...
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Answered by Stefan M. • Maths tutor
4950 Views

Use implicit differentiation to find dy/dx of: 2(x^2)y + 2x + 4y - cos((pi)y) = 17

Tackle this problem one part at a time: First differentiate 2x 2 y using the product rule, showing dy/dx(2x 2 y) = 4xy + 2x 2 (dy/dx). After this, the remainder of the question is easier, as there are no mor...
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Answered by Nick E. • Maths tutor
6086 Views

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

Simplist surd form means use Quadratic equation Write out Quadratic equation Write out value of a, b and c Fit these values into equation Now the maths starts. Area's where students are likely to make mistak...
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Answered by Desnie R. • Maths tutor
3579 Views