Simplify Square Root of 5949

Here we will show you step-by-step how to simplify the square root of 5949. The square root of 5949 can be written as follows:


	√	5949

The √ symbol is called the radical sign. To simplify the square root of 5949 means to get the simplest radical form of √5949.

Step 1: List Factors
List the factors of 5949 like so:

1, 3, 9, 661, 1983, 5949

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

1, 9

Step 3: Divide
Divide 5949 by the largest perfect square you found in the previous step:

5949 / 9 = 661

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 5949 in its simplest form:


3	√	661

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Decimal Form
Square Root of 5949 in Decimal form rounded to nearest 5 decimals:

77.12976

Exponent Form
Square Root of 5949 written with Exponent instead of Radical:

5949^½ = 3 x 661^½

Simplify Square Root of 5950
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* List of Perfect Squares