Simplify Square Root of 1652

Here we will show you step-by-step how to simplify the square root of 1652. The square root of 1652 can be written as follows:


	√	1652

The √ symbol is called the radical sign. To simplify the square root of 1652 means to get the simplest radical form of √1652.

Step 1: List Factors
List the factors of 1652 like so:

1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652

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

1, 4

Step 3: Divide
Divide 1652 by the largest perfect square you found in the previous step:

1652 / 4 = 413

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 1652 in its simplest form:


2	√	413

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Decimal Form
Square Root of 1652 in Decimal form rounded to nearest 5 decimals:

40.6448

Exponent Form
Square Root of 1652 written with Exponent instead of Radical:

1652^½ = 2 x 413^½

Simplify Square Root of 1653
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* List of Perfect Squares