Question

How do you extract square roots in scientific notation?

Answer 1

Hint: First we will specify the scientific notation and then mention its format. Mention how to write the number in two ways that are in even and odd. Then we will mention all the steps required to convert a number from scientific notation.

Complete step by step answer:
 We will start by writing numbers in scientific notation in the form $ x \times {10^n}\, $ where $ n $ is an integer and $ x $ is in limits $ [1,10)\, $ that is $ 1 \leqslant x \leqslant 10 $ .
There are two methods for extracting square roots of such numbers.
Now if $ n $ is even take the square root of $ x $ and $ {10^n}\, $ and multiply them or if we have $ n $ as odd, we will multiply $ x $ by $ 10 $ and reduce $ n $ by $ 1 $ to make it even and then take the square root of each and multiply them.
When we write a number in two parts: with just the digits that is with the decimal point placed after the first digit. Followed by $ \times 10 $ to a power that will put the decimal point back where it should be.
To convert a number from scientific notation, you move the decimal over so that you have a single digit to the left of the decimal. Count the number of decimal places you moved it, and that becomes the exponent on ten.

Note:
For square roots evaluate the reverse of a square. The square root symbol basically means the opposite of the $ 2 $ symbol. Be careful while taking the square root and also consider the signs of the numbers. While moving the decimal always trace back to avoid any mistakes.