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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
4865 Views

Is it easier for organisms to live on land or in the sea?

This is a question I commonly use when giving interview practise for potential Oxbridge students. A question like this doesn't have to have a corrrect answer necessarily, but should evoke a discussion and...

FS
4552 Views

Which French verbs take 'etre' and which take 'avoir' in the perfect tense?

Luckily, there is an easy way to remember which verbs take 'être' and which take 'avoir' in the perfect tense. You just need to learn the following acronym:

M - mourir

R - retourner

S...

IT
Answered by Isobel T. French tutor
4265 Views

What adaptions can a neurone have in order impulses to be transmitted faster?

A neurones role is to transmit electrical impulses rapidly around the organisms body so that the organism can respond to changes in both their external and internal environments. Their structure consists ...

BB
Answered by Brogan B. Biology tutor
2408 Views

The function f is defined for x > 0 by f (x) = x^1n x. Obtain an expression for f ′ (x).

By taking the natural log on both sides we can see that: ln(f(x)) = ln(x)^2 This is a more familiar expression that we know how to differentiate  LHS: f '(x)/f(x), RHS: 2*ln(x)/x By re...

SE
2386 Views

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