Simplify Square Root of 5341

Here we will show you step-by-step how to simplify the square root of 5341. The square root of 5341 can be written as follows:


	√	5341

The √ symbol is called the radical sign. To simplify the square root of 5341 means to get the simplest radical form of √5341.

Step 1: List Factors
List the factors of 5341 like so:

1, 7, 49, 109, 763, 5341

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

1, 49

Step 3: Divide
Divide 5341 by the largest perfect square you found in the previous step:

5341 / 49 = 109

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5341 in its simplest form:


7	√	109

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Decimal Form
Square Root of 5341 in Decimal form rounded to nearest 5 decimals:

73.08215

Exponent Form
Square Root of 5341 written with Exponent instead of Radical:

5341^½ = 7 x 109^½

Simplify Square Root of 5342
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* List of Perfect Squares