write 2/(3+root(5)) in the form a + b*root(5), where a and b are rational numbers.

You would first multiply the expression by (3-root(5))/(3-root(5) - which equals 1 - to get (6-2root(5))/14 which then equals 3/7 - (1/7)*root(5) and you are done.

MG
Answered by Max G. Maths tutor

5495 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

John bought 7 bags of cement and 3 bags of gravel with the total weight of 215kgs. Shona bought 5 bags of cement and 4 bags of gravel with the total weight of 200kgs. How much does 1 bag of cement weigh and how much does 1 bag of gravel weigh?


A bonus of £2100 is shared by 10 people who work for a company. 40% of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen. One of the salesmen says, “If the bonus is shared equally between all 10


Solve the simultaneous equations 4x + 5y = 13 and 3x - 2y = 27.


Sketch the inequality x^2 - x - 12 > y on a set of axes.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning