SOLUTION: how do you figure out a square root? like the square root of 4985?

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Question 176438: how do you figure out a square root? like the square root of 4985?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%284985%29 Start with the given expression



The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number.


So let's list the factors of 4985


Factors:
1, 5, 11, 55, 89, 445, 979, 4895.


Since none of these factors are perfect squares, we cannot simplify sqrt%284985%29



We can use a calculator to approximate sqrt%284985%29 to get sqrt%284985%29=70.605 (which is approximate)