Simplify Square Root of 1500

Here we will show you step-by-step how to simplify the square root of 1500. The square root of 1500 can be written as follows:


	√	1500

The √ symbol is called the radical sign. To simplify the square root of 1500 means to get the simplest radical form of √1500.

Step 1: List Factors
List the factors of 1500 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500

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

1, 4, 25, 100

Step 3: Divide
Divide 1500 by the largest perfect square you found in the previous step:

1500 / 100 = 15

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1500 in its simplest form:


10	√	15

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Decimal Form
Square Root of 1500 in Decimal form rounded to nearest 5 decimals:

38.72983

Exponent Form
Square Root of 1500 written with Exponent instead of Radical:

1500^½ = 10 x 15^½

Simplify Square Root of 1501
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* List of Perfect Squares