Simplify Square Root of 3150

Here we will show you step-by-step how to simplify the square root of 3150. The square root of 3150 can be written as follows:


	√	3150

The √ symbol is called the radical sign. To simplify the square root of 3150 means to get the simplest radical form of √3150.

Step 1: List Factors
List the factors of 3150 like so:

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150

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

1, 9, 25, 225

Step 3: Divide
Divide 3150 by the largest perfect square you found in the previous step:

3150 / 225 = 14

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3150 in its simplest form:


15	√	14

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Decimal Form
Square Root of 3150 in Decimal form rounded to nearest 5 decimals:

56.12486

Exponent Form
Square Root of 3150 written with Exponent instead of Radical:

3150^½ = 15 x 14^½

Simplify Square Root of 3151
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* List of Perfect Squares