Question 176438

{{{sqrt(4985)}}} 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(4985)}}}




We can use a calculator to approximate {{{sqrt(4985)}}} to get {{{sqrt(4985)=70.605}}} (which is approximate)