Question

square root of 3076 . By which number it will factorize. Please solve this question step by step​

Answer 1

how to simplify the square root of 3076. The square root of 3076 can be written as follows:

    √3076 

The √ symbol is called the radical sign. To simplify the square root of 3076 means to get the simplest radical form of √3076.

Step 1: List Factors

List the factors of 3076 like so:

1, 2, 4, 769, 1538, 3076

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4

Step 3: Divide

Divide 3076 by the largest perfect square you found in the previous step:

3076 / 4 = 769

Step 4: Calculate

Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 3076 in its simplest form:

   2√769