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# Maths year 11 Watch

1. (Original post by RDKGames)
Remember your surd rules for multiplication and have a go. use this for the first one to try and get the answer of 4.
How's this?

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2. (Original post by z_o_e)
How's this?

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Correct. Simplify it further.
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4. (Original post by RDKGames)
Correct. Simplify it further.

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5. I don't understand how you go from to . Explain your thought process here.
6. (Original post by RDKGames)
I don't understand how you go from to . Explain your thought process here.
Well I found what makes 4 and 2*2 makes four.

Surd 2 and surd 2 cancels out and gives 2 so we can put that two as it's simplified inside the surd.

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7. (Original post by z_o_e)
Well I found what makes 4 and 2*2 makes four.

Surd 2 and surd 2 cancels out and gives 2 so we can put that two as it's simplified inside the surd.

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Nope. Root 2 and root 2 cancel to give 2, yes you're right, but you took the square root of 4 in the first place, the root is now gone as it cancels with the 2's, so where are you getting another root from that makes you put the 2 inside it?
8. (Original post by RDKGames)
Nope. Root 2 and root 2 cancel to give 2, yes you're right, but you took the square root of 4 in the first place, the root is now gone as it cancels with the 2's, so where are you getting another root from that makes you put the 2 inside it?
I'm really not sure.
I have never covered surds. :/

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9. (Original post by z_o_e)
I'm really not sure.
I have never covered surds. :/

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Well that explains it. Watch this video to get the basics: https://www.youtube.com/watch?v=xpGlbt7Wg2U

The one thing that the video doesn't explain is what a surd is by definition. A surd is an irrational number you get when you take the root an integer. This also means that surds cannot be expressed as fractions.
10. (Original post by RDKGames)
Well that explains it. Watch this video to get the basics: https://www.youtube.com/watch?v=xpGlbt7Wg2U

The one thing that the video doesn't explain is what a surd is by definition. A surd is an irrational number you get when you take the root an integer. This also means that surds cannot be expressed as fractions.
Yep I took a look at it and that's the area simplifying which I don't understand

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11. (Original post by z_o_e)
Yep I took a look at it and that's the area simplifying which I don't understand

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Give me an example from the video you don't understand and I'll walk you through it.
12. (Original post by RDKGames)
Give me an example from the video you don't understand and I'll walk you through it.
Yep I'm watching a video from maths solutions now.

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13. (Original post by RDKGames)
Give me an example from the video you don't understand and I'll walk you through it.
I think you need to explain this

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14. (Original post by z_o_e)
I think you need to explain this

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Okay there are several ways to think about it:

One way
If you list your square numbers from 1-10, you would get this:

As you can see, you have in there which means that 25 is a square number. If you were to square root both sides (which is the reverse of squaring a number) you would get

Another way to think about it
When you have a square root of a number, it is the same as raising that number to the power of 1/2. From this we can manipulate it using laws of indices and surd multiplication rule like so:

15. (Original post by RDKGames)
Okay there are several ways to think about it:

One way
If you list your square numbers from 1-10, you would get this:

As you can see, you have in there which means that 25 is a square number. If you were to square root both sides (which is the reverse of squaring a number) you would get

Another way to think about it
When you have a square root of a number, it is the same as raising that number to the power of 1/2. From this we can manipulate it using laws of indices and surd multiplication rule like so:

So where does the 12 go?

So can we only simplify square numbers?

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16. (Original post by z_o_e)
So where does the 12 go?

So can we only simplify square numbers?

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That example was only for the root. After you simplify the root, and in this case you know that , you can replace the by 5.

So you would go from to

(You can simplify non-squares too... don't get confused.)
17. (Original post by RDKGames)
That example was only for the root. After you simplify the root, and in this case you know that , you can replace the by 5.

So you would go from to

(You can simplify non-squares too... don't get confused.)
For this question I got...

The one on the white board is my Final answer after looking at your examples of simplifying. ..

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18. (Original post by z_o_e)
For this question I got...

The one on the white board is my Final answer after looking at your examples of simplifying. ..

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Yep, your surd manipulation looks solid now. However, one slight error you might've missed, check that addition again. (also you can add 63 and 1, no point leaving them separate)
19. (Original post by RDKGames)
Yep, your surd manipulation looks solid now. However, one slight error you might've missed, check that addition again. (also you can add 63 and 1, no point leaving them separate)

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20. (Original post by RDKGames)
Yep, your surd manipulation looks solid now. However, one slight error you might've missed, check that addition again. (also you can add 63 and 1, no point leaving them separate)
How did this go?

Shall I added 5 root 4 & root 6?

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