Simplify Square Root of 1528

Here we will show you step-by-step how to simplify the square root of 1528. The square root of 1528 can be written as follows:


	√	1528

The √ symbol is called the radical sign. To simplify the square root of 1528 means to get the simplest radical form of √1528.

Step 1: List Factors
List the factors of 1528 like so:

1, 2, 4, 8, 191, 382, 764, 1528

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

1, 4

Step 3: Divide
Divide 1528 by the largest perfect square you found in the previous step:

1528 / 4 = 382

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 1528 in its simplest form:


2	√	382

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Decimal Form
Square Root of 1528 in Decimal form rounded to nearest 5 decimals:

39.08964

Exponent Form
Square Root of 1528 written with Exponent instead of Radical:

1528^½ = 2 x 382^½

Simplify Square Root of 1529
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* List of Perfect Squares