Simplify Square Root of 7532

Here we will show you step-by-step how to simplify the square root of 7532. The square root of 7532 can be written as follows:


	√	7532

The √ symbol is called the radical sign. To simplify the square root of 7532 means to get the simplest radical form of √7532.

Step 1: List Factors
List the factors of 7532 like so:

1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532

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

1, 4

Step 3: Divide
Divide 7532 by the largest perfect square you found in the previous step:

7532 / 4 = 1883

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 7532 in its simplest form:


2	√	1883

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Decimal Form
Square Root of 7532 in Decimal form rounded to nearest 5 decimals:

86.7871

Exponent Form
Square Root of 7532 written with Exponent instead of Radical:

7532^½ = 2 x 1883^½

Simplify Square Root of 7533
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* List of Perfect Squares