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

4755 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

Differentiate f(x) = (x+3)/(2x-5) using the quotient rule.

How do I use the discriminant in circle geometry?

What is an easy way to remember how sin(x) and cos(x) are differentiated and integrated?

Determine the coordinates of all the stationary points of the function f(x) = (1/3)x^3+x^2-3x+1 and state whether they are a maximum or a minimum.

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

Differentiate f(x) = (x+3)/(2x-5) using the quotient rule.

How do I use the discriminant in circle geometry?

What is an easy way to remember how sin(x) and cos(x) are differentiated and integrated?

Determine the coordinates of all the stationary points of the function f(x) = (1/3)*x^3+x^2-3*x+1 and state whether they are a maximum or a minimum.

Determine the coordinates of all the stationary points of the function f(x) = (1/3)x^3+x^2-3x+1 and state whether they are a maximum or a minimum.