Express 8/((root3) -1)) in the form a(root3) +b, where a and b are integers.
You would multiply both numerator and denominator by the expression (root3 +1)/(root3 +1). This expression is equal to 1 hence the original expression remains unchanged. The new expression is now (8(root3)+8)/(3-1). We simplify the numerator and denominator to 8((root3)+1)/2. Now we can divide by 2 so we get 4((root3)+1)/1 or 4((root3)+1). Finally we expand the expression to 4(root3)+4. So a=4 and b=4.
SK
Related Maths A Level answers
All answers ▸Using a suitable substitution, or otherwise, find the integral of [x/((7+2*(x^2))^2)].
A curve has equation y = x^3 - 48x. The point A on the curve has x coordinate -4. The point B on the curve has x coordinate - 4 + h. Show that that the gradient of the line AB is h^2 - 12h.
Make a the subject of 3(a+4) = ac+5f .
Find the integral of 3x-x^(3/2)