Simplify Square Root of 5635

Here we will show you step-by-step how to simplify the square root of 5635. The square root of 5635 can be written as follows:


	√	5635

The √ symbol is called the radical sign. To simplify the square root of 5635 means to get the simplest radical form of √5635.

Step 1: List Factors
List the factors of 5635 like so:

1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635

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

1, 49

Step 3: Divide
Divide 5635 by the largest perfect square you found in the previous step:

5635 / 49 = 115

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5635 in its simplest form:


7	√	115

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Decimal Form
Square Root of 5635 in Decimal form rounded to nearest 5 decimals:

75.06664

Exponent Form
Square Root of 5635 written with Exponent instead of Radical:

5635^½ = 7 x 115^½

Simplify Square Root of 5636
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* List of Perfect Squares