Simplify Square Root of 1350

Here we will show you step-by-step how to simplify the square root of 1350. The square root of 1350 can be written as follows:


	√	1350

The √ symbol is called the radical sign. To simplify the square root of 1350 means to get the simplest radical form of √1350.

Step 1: List Factors
List the factors of 1350 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350

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

1, 9, 25, 225

Step 3: Divide
Divide 1350 by the largest perfect square you found in the previous step:

1350 / 225 = 6

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 1350 in its simplest form:


15	√	6

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Decimal Form
Square Root of 1350 in Decimal form rounded to nearest 5 decimals:

36.74235

Exponent Form
Square Root of 1350 written with Exponent instead of Radical:

1350^½ = 15 x 6^½

Simplify Square Root of 1351
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* List of Perfect Squares