379 views

### Express (√5+4)/(√5-2) in the form p+q√5 where p and q are integers.

Rationalise the denominator by multiplying the whole fraction by (√5+2)/(√5+2). This is equal to one and this removes the surd from the denominator of the fraction, allowing us to solve it.

This gives us
(5+4√5+√5+4)/(5-4)
which is equal to
(9+5√5)/1

Which gives us 9+5√5.

So p=9 and q=5

10 months ago

Answered by Fern, an A Level Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 423 SUBJECT SPECIALISTS

£22 /hr

Degree: Economics (Bachelors) - Cambridge University

Subjects offered:Maths, Economics+ 2 more

Maths
Economics
-Personal Statements-
-Oxbridge Preparation-

“Economics Graduate from Cambridge, wanting to share my passion for the discipline”

£22 /hr

Degree: MMath Pure Mathematics (Masters) - St. Andrews University

Subjects offered:Maths, English Literature

Maths
English Literature

“I am an experienced mathematician with a personal approach to tutoring. I'm here to help you further your mathematical potential.”

£26 /hr

Degree: PhD Electrical Engineering (Doctorate) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£24 /hr

Degree: Mathematics (Bachelors) - Nottingham University

Subjects offered:Maths

Maths

“Hey I'm Fern and I'm a Mathematics student at the University of Nottingham - let's do some sums!”

### You may also like...

#### Other A Level Maths questions

Find the equation of a straight line that passes through the coordinates (12,-10) and (5,4). Leaving your answer in the form y = mx + c

Solve the differential equation: e^(2y) * (dy/dx) + tan(x) = 0, given that y = 0 when x = 0. Give your answer in the form y = f(x).

Differentiate y = (x^2 + 3)^2

Find the exact gradient of the curve y=ln(1-cos2x) at the point with x-coordinate π/6

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.