Question

square root of 725 step by step​

Answer 1

Answer:

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Simplify Square Root of 725

Simplify Square Root

Here we will show you step-by-step how to simplify the square root of 725. The square root of 725 can be written as follows:

√ 725

The √ symbol is called the radical sign. To simplify the square root of 725 means to get the simplest radical form of √725.

Step 1: List Factors

List the factors of 725 like so:

1, 5, 25, 29, 145, 725

Step 2: Find Perfect Squares

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

1, 25

Step 3: Divide

Divide 725 by the largest perfect square you found in the previous step:

725 / 25 = 29

Step 4: Calculate

Calculate the square root of the largest perfect square:

√25 = 5

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 725 in its simplest form: