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

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

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

We can use a calculator to approximate to get (which is approximate)
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