Simplify Square Root of 2752

Here we will show you step-by-step how to simplify the square root of 2752. The square root of 2752 can be written as follows:


	√	2752

The √ symbol is called the radical sign. To simplify the square root of 2752 means to get the simplest radical form of √2752.

Step 1: List Factors
List the factors of 2752 like so:

1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752

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

1, 4, 16, 64

Step 3: Divide
Divide 2752 by the largest perfect square you found in the previous step:

2752 / 64 = 43

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2752 in its simplest form:


8	√	43

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Decimal Form
Square Root of 2752 in Decimal form rounded to nearest 5 decimals:

52.45951

Exponent Form
Square Root of 2752 written with Exponent instead of Radical:

2752^½ = 8 x 43^½

Simplify Square Root of 2753
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* List of Perfect Squares