Simplify Square Root of 5046

Here we will show you step-by-step how to simplify the square root of 5046. The square root of 5046 can be written as follows:


	√	5046

The √ symbol is called the radical sign. To simplify the square root of 5046 means to get the simplest radical form of √5046.

Step 1: List Factors
List the factors of 5046 like so:

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

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

1, 841

Step 3: Divide
Divide 5046 by the largest perfect square you found in the previous step:

5046 / 841 = 6

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

√841 = 29

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5046 in its simplest form:


29	√	6

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Decimal Form
Square Root of 5046 in Decimal form rounded to nearest 5 decimals:

71.0352

Exponent Form
Square Root of 5046 written with Exponent instead of Radical:

5046^½ = 29 x 6^½

Simplify Square Root of 5047
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* List of Perfect Squares