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# Help with changing numbers into surds

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1. I basically have R to the power of 6 = 1/8

I need to rewrite this in order to get 1/root 2 can anyone help get me started?
2. (Original post by SunDun111)
I basically have R to the power of 6 = 1/8

I need to rewrite this in order to get 1/root 2 can anyone help get me started?

Now you know that if you have then .

So here:

And you also know that . So what does the above line simplify to?
3. (Original post by Zacken)

Now you know that if you have then .

So here:

And you also know that . So what does the above line simplify to?
doesnt the 1 to the power of 3 over 2 to the power of 3, dosent the 3's cancel out? when you divide ?
4. (Original post by SunDun111)
doesnt the 1 to the power of 3 over 2 to the power of 3, dosent the 3's cancel out? when you divide ?
No.
5. (Original post by Zacken)
No.
ok thanks so it becomes 1/4 and then i simplify the 4 to 2 root 2
6. (Original post by SunDun111)
ok thanks so it becomes 1/4 and then i simplify the 4 to 2 root 2
Not quite. Okay, let's look at it in a simpler way:

- step 1.

- step 2 by using .

- step 3 by using

- step 4 by using .

- step 5

- step 6

- step 7 by using

Can you take it from here, if there's an issue with anything, please bold the "step" that confuses you.

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