### Findings by S1-01: Radical Number

i am a square root
i start from the number 2,3,4,...
My symbol is √
some examples are √9 = 3
so three is the radical number
by Harsh Seth,Soh Fan,Joshua Mah,Ng Kai Chek

1. Honestly, I do not really understand much about radical numbers, so it will be difficult to complete the assignment. Furthermore, the source has provided too little information.

Can a radical number be cube rooted too? Like 64=4 x 4 x 4? Or must it be like 64=8 x 8? I think I am also very lost at the "i start from 2,3,4,..." part.

2. Well, about the "i start from 2,3,4,...", can 3 even be square or cube rooted?

3. Erm... ...or are you trying to say they start from 4?

4. I also think so, I don't mean to say bad things, but, it could be just a little bit more comprehensive.:D

5. Well, Harsh explained earlier. I don't really agree but I get a brief idea of "Radical numbers".It isn't really numbers that are cube rooted. My mistake, I think they start with 1(1 x 1).

6. This comment has been removed by the author.

7. I am still thinking about negative radical numbers at the moment. I wonder is it possible... ...

8. Dear all

So, still frustrated over the 'ridiculous' RADICAL?

Are there other websites that would provide a clearer, easier to understand explanation?
Hm... do you think the info from the source (yahoo) comes from reliable Maths expert?

In IPW Lesson, you learnt that you could not trust information from just 1 source, but need to verify the reliability of information. The same principle applies in any subject. So, what would you do before putting up your answers?

9. Here's one more to consider:

If I were to quote: Radicals involve the use of the radical sign (√). Something that Harsh has pointed out.

So, radical is a form of expression with √ (that is, the square root sign).
So, it doesn't tie in with any specific numbers.

For example (from the above website):
To express √ 72 in the simplest radical form
It's finding the square root of 72.
However, we know that 72 is not a perfect square. If we use the calculator, it will give us answers in decimal, which may not be exact (as the answer can go up to many decimal places).

So, we'll do the prime factorisation of 72 and we get:
72 = 2 x 2 x 2 x 3 x 3

To find square root, we should organise the prime factors into 2 identical groups. Can we?

√72
= √ (2 x 2 x 2 x 3 x 3)
= √ (2 x 3)x(2 x 3)x 2
= √ 6 x 6 x 2

we can't. However, you notice we can get 2 groups (2 x 3) and left with an 'extra' 2

so, can we rewrite √72 as
√( 6 x 6 )x √ 2 ?

Then we have 6√2
Simplest radical form of √72 = 6√2

10. Could someone check out 2 other websites that explain what radicals are?

If these websites could provide similar explanations like the example give above... then would the website above be a reliable one, and we could trust the information presented?