Simplify Square Root of 5624

Here we will show you step-by-step how to simplify the square root of 5624. The square root of 5624 can be written as follows:


	√	5624

The √ symbol is called the radical sign. To simplify the square root of 5624 means to get the simplest radical form of √5624.

Step 1: List Factors
List the factors of 5624 like so:

1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624

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

1, 4

Step 3: Divide
Divide 5624 by the largest perfect square you found in the previous step:

5624 / 4 = 1406

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 5624 in its simplest form:


2	√	1406

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Decimal Form
Square Root of 5624 in Decimal form rounded to nearest 5 decimals:

74.99333

Exponent Form
Square Root of 5624 written with Exponent instead of Radical:

5624^½ = 2 x 1406^½

Simplify Square Root of 5625
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* List of Perfect Squares