Simplify Square Root of 5076

Here we will show you step-by-step how to simplify the square root of 5076. The square root of 5076 can be written as follows:


	√	5076

The √ symbol is called the radical sign. To simplify the square root of 5076 means to get the simplest radical form of √5076.

Step 1: List Factors
List the factors of 5076 like so:

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076

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

1, 4, 9, 36

Step 3: Divide
Divide 5076 by the largest perfect square you found in the previous step:

5076 / 36 = 141

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5076 in its simplest form:


6	√	141

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Decimal Form
Square Root of 5076 in Decimal form rounded to nearest 5 decimals:

71.24605

Exponent Form
Square Root of 5076 written with Exponent instead of Radical:

5076^½ = 6 x 141^½

Simplify Square Root of 5077
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* List of Perfect Squares