MYTUTOR SUBJECT ANSWERS

123 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

Fern H. A Level Maths tutor, GCSE Maths tutor

3 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

246 SUBJECT SPECIALISTS

£26 /hr

Venetia L.

Degree: General Engineering (Masters) - Durham University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“About Me: I study General Engineering at the University of Durham. I have always enjoyed the maths and science subjects, and hope to help students who also share my love for them too! I have experience in working with young pupils and...”

£20 /hr

Daniel S.

Degree: MEng Mechanical Engineering (Masters) - Exeter University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Dan and I am currently on the Masters Mechanical Engineering course at Exeter University. I studied Maths, Further Maths and Physics at A-level and recieved A*AA grades for them. I love helping people understand maths and I fi...”

MyTutor guarantee

£30 /hr

Hayden M.

Degree: Physics (Masters) - Warwick University

Subjects offered: Maths, Science+ 4 more

Maths
Science
Physics
Further Mathematics
English
Chemistry

“My name is Hayden. I am a 2nd year Physics student at The University of Warwick. I get excited aboutall things science and I hope that I can help you not only learn your material but alsounderstand why it is a useful thing to know.A...”

About the author

Fern H.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Nottingham University

Subjects offered: Maths

Maths

“Hello! My name is Fern and I am a second year Mathematics student at the University of Nottingham. Maths is definitely not everyone's favourite subject. I know this from the amount of shocked/disgusted faces I get when I tell people w...”

You may also like...

Other A Level Maths questions

How do I find the root of a quadratic equation?

How do you intergrate sin^2(x)?

What is Taylor Series

A Definitive Guide to Differentiation

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok