Simplify Square Root of 507

Here we will show you step-by-step how to simplify the square root of 507. The square root of 507 can be written as follows:


	√	507

The √ symbol is called the radical sign. To simplify the square root of 507 means to get the simplest radical form of √507.

Step 1: List Factors
List the factors of 507 like so:

1, 3, 13, 39, 169, 507

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

1, 169

Step 3: Divide
Divide 507 by the largest perfect square you found in the previous step:

507 / 169 = 3

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 507 in its simplest form:


13	√	3

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Decimal Form
Square Root of 507 in Decimal form rounded to nearest 5 decimals:

22.51666

Exponent Form
Square Root of 507 written with Exponent instead of Radical:

507^½ = 13 x 3^½

Simplify Square Root of 508
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* List of Perfect Squares