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 This topic has been viewed 1321 times and has 3 replies
EternalSummer247

USA
Joined: Jul 6, 2007
Posts: 36
Status: Offline
 Is there a way to do this? Reply to this Post Reply with Quote

**Just pretend there's a square root sign where the question marks are**

Is there a way to find the square root of a number containing a radical?

For example: ?10?10

Is there a way to find the square root of that? I'm down to finding the square root of the both sides and I have...

?x = ?10?10

Thanks.
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[Edit 1 times, last edit by EternalSummer247 at Jan 18, 2008 9:55:10 AM]
 [Jan 18, 2008 9:49:48 AM] [Link]
pskinner

Joined: Apr 2, 2005
Posts: 797
Status: Offline
 Re: Is there a way to do this? Reply to this Post Reply with Quote

 **Just pretend there's a square root sign where the question marks are**Is there a way to find the square root of a number containing a radical?For example: ?10?10Is there a way to find the square root of that? I'm down to finding the square root of the both sides and I have...?x = ?10?10Thanks.

You can write the square root of the square root of 10 as follows:

((10)^(1/2))^(1/2)=10^(1/4)

That is, it can be rewritten as the fourth root of 10. Now that is a symbolic number, like the square root of 2, and you can get an approximation to it using decimals, but the symbolic expression is exact and there is no need to "simplify" it further.
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Principal Skinner
 [Jan 18, 2008 10:04:59 AM] [Link]
EternalSummer247

USA
Joined: Jul 6, 2007
Posts: 36
Status: Offline
 Re: Is there a way to do this? Reply to this Post Reply with Quote

***Question marks are square root signs...except for the last one :)

I probably should have posted the original problem first...

?3x-2x = ?1000

so would the most simplified form just be ?10?10?

Thanks!
 [Jan 18, 2008 10:11:53 AM] [Link]
pskinner

Joined: Apr 2, 2005
Posts: 797
Status: Offline
 Re: Is there a way to do this? Reply to this Post Reply with Quote

 ***Question marks are square root signs...except for the last one :)I probably should have posted the original problem first...?3x-2x = ?1000so would the most simplified form just be ?10?10?Thanks!

(1000)^(1/2)=10*10^(1/2)
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Principal Skinner
 [Jan 19, 2008 10:30:46 AM] [Link]