SOLUTION: How do we find the square root of numbers that do not have a square root? For ex) the square root of 32, 284, etc. (And not the decimal rounded square roots). I am having trouble f

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do we find the square root of numbers that do not have a square root? For ex) the square root of 32, 284, etc. (And not the decimal rounded square roots). I am having trouble f      Log On


   

Question 624482: How do we find the square root of numbers that do not have a square root? For ex) the square root of 32, 284, etc. (And not the decimal rounded square roots). I am having trouble finding the square roots.
Found 2 solutions by richard1234, ewatrrr:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
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To find the square root in decimal form, you can use a calculator. There are also algorithms to approximate the square root.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Number such as 32, true it is are not a perfect square...

But...it may have a perfect square as one of its factors, which allows for simplyfying it:

for ex:

 sqrt%2832%29+=+sqrt%2816%2A2%29=+4sqrt%282%29

 sqrt%28284%29+=+sqrt%284%2A71%29=+2sqrt%2871%29