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**karategirl1925****Member**- Registered: 2013-11-28
- Posts: 7

Heyy ~ I'm Tina

I'm learning stuff at about GCSE - A level standard, and I'm currently working on trying to add/subtract numbers faster mentally and the binomial theorem as well as factorisation problems, freakishly hard, etc. yeah, so if anyone has any suggestions or tips on simplifying square rooted numbers inside of square rooted numbers and factorising square roots, I'd be happy to know -- I'm in year 8 (I know, I know) and I'm going to take the IMC from the UKMT challenges next year so if anyone has any tips on that then great.

Good byeh ~

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Mathopolis username: Karategirl2012

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,228

Hi karategirl1925;

Welcome to the forum.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,426

hi Tina,

Welcome to the forum.

so if anyone has any suggestions or tips on simplifying square rooted numbers inside of square rooted numbers and factorising square roots,

I'm not quite sure what you're after here. Would you give us some examples please?

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**karategirl1925****Member**- Registered: 2013-11-28
- Posts: 7

Hi Bob ~

So what I mean is a bit hard to express because we can't show stuff like square roots..(or can we?)

e.g. √17+12√2 is one I've been trying to simplify, and the seventeen plus twelve square rooted two is all inside one massive square root, not seventeen squared etc.

help?

thanks

Mathopolis username: Karategirl2012

top ten in four different competitions! XD

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,228

Hi;

This is the problem?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi Tina

Welcome to the forum!

Hi bobbym

I'd say this is:

*Last edited by anonimnystefy (2013-11-29 16:42:45)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,228

Have you figured what numbers always make this simplification possible?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

No, but I remember the formula:

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,426

hi Tina,

Sometimes these can be simplified and sometimes not.

You could try setting your expression equal to a + √b and then squaring to see what results.

To make mathematical expressions on the forum you need to use a code called Latex.

eg

`[math]\sqrt{\sqrt{17}+12 \sqrt{2}}[/math]`

These links will be useful:

http://www.mathisfunforum.com/viewtopic.php?id=4397

http://latex.codecogs.com/editor.php

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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