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Rewrite (2+(12)^(1/2))/(2+3^(1/2)) in the form a+b((c)^(1/2))

To solve:Rewrite the top part of the fraction to get it in terms of 3^(1/2)Rationalise the denominatorSimplify
The final answer is 2(3^(1/2)) - 2

Answered by Max M. • Maths tutor

2928 Views

You're on a game show and have a choice of three boxes, in one box is £10, 000 in the other two are nothing. You pick one box, the host then opens one of the other boxes showing it's empty, should you stick or switch?

At the moment of your first choice you have a 1/3 chance of picking the box with the prize and a 2/3 chance of getting nothing. After your choice those probabilities remain locked in and do not change as ...

Answered by Jonathan B. • Maths tutor

6629 Views

How is the factor theorem used?

The factor theorem is used to determine factors of large polynomials so that we can split large polynomials into a product of linear polynomials. Say we have a cubic polynomial of the form f(x)=x^3+bx^2+c...

Answered by Rob D. • Maths tutor

2880 Views

Solve 4x/(x+1) - 3/(2x+1) = 1

Firstly multiply through by (x+1)(2x+1) to get rid of the fractions and then expand the brackets. Then gather the terms on one side to get a quadratic equation (ie 3x^2 - x -2=0) and then simply solve thi...

Answered by Raban B. • Maths tutor

3356 Views

integrate 6x^2

To integrate we increase the power by one, then divide by the new power.
Therefore the power (^2) increases to (^3), and the 6 is divided by the new power (^3), making the first number a 2.
2x^3...

Answered by Lewis M. • Maths tutor

9464 Views