Answers>Maths>A Level>Article

Express (5sqrt(3)-6)/(2sqrt(3)+3) in the form m+nsqrt(3) where m and n are integers. [Core 1]

Step 1: multiply (5sqrt(3)-6)/(2sqrt(3)+3) by (2sqrt(3)-3)/(2sqrt(3)-3) (this is a trick called CONJUGATION as you're really just multiplying the fraction by 1. Step 2: Expand and simplify top and botton to arrive at: (48-27sqrt(3))/3 Step 3: cancel top and bottom with the "3". Step 4: arrive at 16-9sqrt(3). m=16,n=-9.

Answered by Mahir Y. • Maths tutor

4884 Views

See similar Maths A Level tutors

Express (5sqrt(3)-6)/(2sqrt(3)+3) in the form m+nsqrt(3) where m and n are integers. [Core 1]

Related Maths A Level answers

(GCSE) A rectangle has the following characteristics: its length is (2x + 5), its width is (3x - 2). The perimeter of the rectangle is 46 cm. What is the value of x?

(4-2x)/(2x+1)(x+1)(x+3) = A/(2x+1)+B/(x+1)+C(x+3) Find the values of the constants A, B and C

How can I recognise when to use a particular method for finding an integral?

Calculate the integral of ln(x)