Simplify Square Root of 5634

Here we will show you step-by-step how to simplify the square root of 5634. The square root of 5634 can be written as follows:


	√	5634

The √ symbol is called the radical sign. To simplify the square root of 5634 means to get the simplest radical form of √5634.

Step 1: List Factors
List the factors of 5634 like so:

1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634

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

1, 9

Step 3: Divide
Divide 5634 by the largest perfect square you found in the previous step:

5634 / 9 = 626

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5634 in its simplest form:


3	√	626

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Decimal Form
Square Root of 5634 in Decimal form rounded to nearest 5 decimals:

75.05998

Exponent Form
Square Root of 5634 written with Exponent instead of Radical:

5634^½ = 3 x 626^½

Simplify Square Root of 5635
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* List of Perfect Squares