Simplify Square Root of 1752

Here we will show you step-by-step how to simplify the square root of 1752. The square root of 1752 can be written as follows:


	√	1752

The √ symbol is called the radical sign. To simplify the square root of 1752 means to get the simplest radical form of √1752.

Step 1: List Factors
List the factors of 1752 like so:

1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752

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

1, 4

Step 3: Divide
Divide 1752 by the largest perfect square you found in the previous step:

1752 / 4 = 438

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1752 in its simplest form:


2	√	438

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Decimal Form
Square Root of 1752 in Decimal form rounded to nearest 5 decimals:

41.8569

Exponent Form
Square Root of 1752 written with Exponent instead of Radical:

1752^½ = 2 x 438^½

Simplify Square Root of 1753
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* List of Perfect Squares