sqrt problems

[Farcus]

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how do you do the sqrt of a log? I mean sqrt of numbers that aren't percernt squares. I know the sqrt of (1/10)^4=.01 that is easy its just 1/10 *1/10 but what about say sqrt 1/10^11?

 

[omnione]

The square root of anything is essentially taking that number to the power of 1/2:

4^(1/2) = 2 = square root symbol over 4.

The solution to your example is:

sqrt (0.1^11) = (0.1^11) ^ (1/2) = 0.1 ^5.5

Verification: (0.1^5.5) x (0.1^5.5) = 0.1^11

 

[Farcus]

right .1^5 is easy but what about .1^5.5? how would u go from there.

 

[omnione]

right .1^5 is easy but what about .1^5.5? how would u go from there.

I highly doubt that the PCAT is going to ask you a number in decimal format. It's more likely that you have exact answers for answer choices.

The decimal answer, if you ever do run into that situation, uses the same strategy we talked about in your log thread. 0.1^5.5 is between 0.1^5 and 0.1^6. You can use the estimation strategy mentioned in the other thread.

 

[triumphbr]

Mort Goldman used a clothespin to control his "sqrt"-ing problem. ..

at least thats what he said on the episode where he was bowling a perfect game. 😉