## Ab-SURD maths!

Numbers are such seemingly simple things – even babies can learn to count. But they keep on getting much more complicated. First it was fractions, then it was decimals, and later negative numbers.

Why is it so complicated? Even now, we keep on adding more types of numbers – natural number, whole numbers, integers… it keeps on going. We need all these different labels because the different types of numbers have different properties – and the relationships between these sets are essential to know as you continue your studies of mathematics. When you go on, you will learn that the various number sets (e.g. real numbers or irrational numbers) have different properties.

Here is some information on the different sets of numbers

And finally, a video on solving more complicated surd problems.

Last, anyone who wants to draw a picture for me of the superhero :SURDMAN (or woman!) can earn a bonus point…

See you in class!

**Explore posts in the same categories:**Mathematics

September 4, 2008 at 7:20 PM

Just in case you want to know, I was checking out your site and found no problem looking at your embedded youtube and slideshare.

Greetings from Mexico.

September 5, 2008 at 10:25 PM

Heyyy Mr G!

those little slide show things are mad, but…

i don’t get it, how are whole and natural numbers different? =S

thanks a lot!

p.s-links to biol podcast please?

February 20, 2011 at 7:50 PM

[…] the simplification of surds. Fortunately, I’ve already got a lot of information for you at a previous post! Explore posts in the same categories: […]

February 24, 2011 at 8:54 PM

Hey sir,

I forgot your email so i ahve to post on here. Anyway i got stuck on one question and was wondering if you could explain how to work it out?

-2√5-6√7×2√4÷3√14+8√2

i remember you said you can not add or subtract unless they are the same, so i was confused.

PLEASE HELP!

February 26, 2011 at 4:02 PM

Hi Renata,

Sorry I didn’t respond to your comment – It had been held up for moderation.

Your problems is: -2√5-6√7×2√4÷3√14+8√2

Use BODMAS to determine order of operations, which means you must do the -6√7×2√4 bit first, which results in -12√28

This means that you then have:

-2√5-12√28÷3√14+8√2

Next do the next bit according to BODMAS, which would be: -12√28÷3√14, giving you -4√2

So now you have:

-2√5-4√2+8√2

Which means you can now add the same surds (-4√2+8√2), which gives 4√2

Leaving a final answer of

-2√5+4√2