how do you simplify the square root of 698?

$${\sqrt{{\mathtt{698}}}} = {\mathtt{26.419\: \!689\: \!627\: \!245\: \!812\: \!9}}$$

You are going to need to estimate to the nearest whole.

698 factors as 2 * 349

So......there is nothing we can do to simplify this.........

$${\sqrt{{\mathtt{698}}}}$$

To simplify $${\sqrt{{\mathtt{698}}}}$$ in exact form:

1.  Break $${\mathtt{698}}$$ into its simpliest multiples:  $${\sqrt{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{349}}}}$$

2.  How many of the same number under the radical do you have?:  One $${\mathtt{2}}$$, One $${\mathtt{349}}$$

3.  Wherever you see two of the same number pull those two numbers out:  None

4.  Multiply the remaining numbers under the radical: $${\sqrt{{\mathtt{698}}}}$$

$${\sqrt{{\mathtt{698}}}}$$ simplified in exact form is $${\sqrt{{\mathtt{698}}}}$$

In its approximate form: $${\sqrt{{\mathtt{698}}}} = {\mathtt{26.419\: \!689\: \!627\: \!245\: \!812\: \!9}}$$...