Simplify Square Root of 1395

Here we will show you step-by-step how to simplify the square root of 1395. The square root of 1395 can be written as follows:


	√	1395

The √ symbol is called the radical sign. To simplify the square root of 1395 means to get the simplest radical form of √1395.

Step 1: List Factors
List the factors of 1395 like so:

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395

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

1, 9

Step 3: Divide
Divide 1395 by the largest perfect square you found in the previous step:

1395 / 9 = 155

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1395 in its simplest form:


3	√	155

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Decimal Form
Square Root of 1395 in Decimal form rounded to nearest 5 decimals:

37.3497

Exponent Form
Square Root of 1395 written with Exponent instead of Radical:

1395^½ = 3 x 155^½

Simplify Square Root of 1396
The answer to Simplify Square Root of 1395 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares