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Question 161297This question is from textbook Algebra I
: I am looking for someone to please show how the square root of (7.96) equals (2.82). I am a homeschooling mom and I have tried using the square root formula from our Pre-Algebra Textbook and still cannot find the answer to show as 2.82. Can someone please show us how to compute this so we may carry this into our lesson?
Thank you
This question is from textbook Algebra I
Found 2 solutions by Electrified_Levi, checkley77:
Answer by Electrified_Levi(103)   (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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I am looking for someone to please show how the square root of (7.96) equals (2.82). I am a homeschooling mom and I have tried using the square root formula from our Pre-Algebra Textbook and still cannot find the answer to show as 2.82. Can someone please show us how to compute this so we may carry this into our lesson?
Thank you
.
 is  , I just used a calculator to find the square root, I don't know the formula, but you have the formula ( you could say  , which would be the answer we got, you basically need to know your multiplication to find the square roots ) (  =  ,  =  ) ( you could use the calculator, or you would have to know that  , and  )
For the answer, they rounded it to the 100ths place,  , since the answer is in the 100ths, 
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is
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Now if it asked, find  , the answer would have to be in the 100,000ths place, or  (since the 7 rounds the "4" to "5")
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It all depends on the number you are square rooting, ( If you are square rooting a number that only has a 10th place, your answer will be in the 10th place, if you are square rooting a number that has a 1,000,000th place, you round your answer to the 1,000,000th place)
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They rounded it to the 100th place, most likely because the number they give you is in the 100ths ( to be totally accurate you wouldn't round, but you probably don't want to write all the 31+ numbers down for your answer, on a piece of paper, or computer )
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 , all they did was round to the 100ths place
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Hope I helped, Levi
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! 
Find the largest square less than 7. 2^2=4
Subtract the 4 from the 7=3. bring down the next 2 digits [396].
You need to multiply the 2*2 & add a zero for the next divisor (40)
Now you need to find the next value to add to the (4x)*x <396
[(40+?)*?<396].Try 9. [49*9=441} to large. Try 8. [48*8=384] this fits.
Now subtract 384 from 396=16.
Bring down two zeros
Double the 28=56. [56+?)*?<1600.try 563*3=1689 too big. Try 562*2=1124
Suntract 1124 from 1600.
VOILA 2.82 WITH REMAINDER
-------------------------------------------------
****2.82
***______________
2\/ 7.9600
****4
****---
48**396
****384
****-----
*****1600
562**1124
*****----
******476
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