Simplify Square Root of 4375

Here we will show you step-by-step how to simplify the square root of 4375. The square root of 4375 can be written as follows:


	√	4375

The √ symbol is called the radical sign. To simplify the square root of 4375 means to get the simplest radical form of √4375.

Step 1: List Factors
List the factors of 4375 like so:

1, 5, 7, 25, 35, 125, 175, 625, 875, 4375

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

1, 25, 625

Step 3: Divide
Divide 4375 by the largest perfect square you found in the previous step:

4375 / 625 = 7

Step 4: Calculate
Calculate the square root of the largest perfect square:

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4375 in its simplest form:


25	√	7

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Decimal Form
Square Root of 4375 in Decimal form rounded to nearest 5 decimals:

66.14378

Exponent Form
Square Root of 4375 written with Exponent instead of Radical:

4375^½ = 25 x 7^½

Simplify Square Root of 4376
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* List of Perfect Squares