Simplify Square Root of 1971

Here we will show you step-by-step how to simplify the square root of 1971. The square root of 1971 can be written as follows:


	√	1971

The √ symbol is called the radical sign. To simplify the square root of 1971 means to get the simplest radical form of √1971.

Step 1: List Factors
List the factors of 1971 like so:

1, 3, 9, 27, 73, 219, 657, 1971

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

1, 9

Step 3: Divide
Divide 1971 by the largest perfect square you found in the previous step:

1971 / 9 = 219

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 1971 in its simplest form:


3	√	219

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Decimal Form
Square Root of 1971 in Decimal form rounded to nearest 5 decimals:

44.39595

Exponent Form
Square Root of 1971 written with Exponent instead of Radical:

1971^½ = 3 x 219^½

Simplify Square Root of 1972
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* List of Perfect Squares