# Assignment 2 Q1 iv (why not simplify answer?)

Hi, could someone please explain why the given answer to this question does not simplify the two $\frac {\sqrt{2}} {2}$ into $\frac {{1}} {\sqrt{2}}$ ?
The answer I found was $x = \frac {\pm 1 \pm i} {\sqrt {2}}$ which is equivalent to the answer in the hints unless I'm missing something deep and meaningful for which I should be very glad to be enlightened :-)

### There's nothing wrong with

There's nothing wrong with writing it in either form given that a specific form hasn't been asked for. Some people prefer and might argue that rationalising the denominator of a final answer is good practice but I personally don't see a problem with an irrational denominator.

### Aha! Thanks for that, I didn

Aha! Thanks for that, I didn't know about "rationalising the denominator" so I went a bit too far and derationalised it.
Now I've googled the phrase and there's quite a few hits with full explanations. Thanks!

### Out of curiosity, was it not

Out of curiosity, was it not something you covered when studying for GCSE maths (or equivalent if you didn't do GCSE maths)?

### Ah, I am found out. You are

Ah, I am found out. You are most probably correct, however my memories of my O level maths are a bit hazy, being over thirty years old now (sheepish grin). So why am I here? Officially to support a French Bac S student who is planning on sitting STEP in summer 2018, and who has no other STEP support - but I suspect it has a lot to do with the fact I have been surprised to find that this programme is simply the most interesting, challenging, enriching and rewarding pastime :-)

### All are welcome here, Fletch!

All are welcome here, Fletch! Before I had to do STEP questions for work, I used to do them for fun :-)

### Thank you for the welcome,

Thank you for the welcome, SophieGermain, and I'm glad you have found a way to be paid to have fun :-)
Also : interesting pseudonyms on this forum, I sense a common theme of honouring heroes ; is AdmiralHopper already taken?

### Not that I know of!

Not that I know of!

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP