Simplify Square Root of 5607

Here we will show you step-by-step how to simplify the square root of 5607. The square root of 5607 can be written as follows:


	√	5607

The √ symbol is called the radical sign. To simplify the square root of 5607 means to get the simplest radical form of √5607.

Step 1: List Factors
List the factors of 5607 like so:

1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607

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

1, 9

Step 3: Divide
Divide 5607 by the largest perfect square you found in the previous step:

5607 / 9 = 623

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 5607 in its simplest form:


3	√	623

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Decimal Form
Square Root of 5607 in Decimal form rounded to nearest 5 decimals:

74.8799

Exponent Form
Square Root of 5607 written with Exponent instead of Radical:

5607^½ = 3 x 623^½

Simplify Square Root of 5608
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* List of Perfect Squares