Simplify Square Root of 5025

Here we will show you step-by-step how to simplify the square root of 5025. The square root of 5025 can be written as follows:


	√	5025

The √ symbol is called the radical sign. To simplify the square root of 5025 means to get the simplest radical form of √5025.

Step 1: List Factors
List the factors of 5025 like so:

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 25

Step 3: Divide
Divide 5025 by the largest perfect square you found in the previous step:

5025 / 25 = 201

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 5025 in its simplest form:


5	√	201

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Decimal Form
Square Root of 5025 in Decimal form rounded to nearest 5 decimals:

70.88723

Exponent Form
Square Root of 5025 written with Exponent instead of Radical:

5025^½ = 5 x 201^½

Simplify Square Root of 5026
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* List of Perfect Squares