Simplify Square Root of 5850

Here we will show you step-by-step how to simplify the square root of 5850. The square root of 5850 can be written as follows:


	√	5850

The √ symbol is called the radical sign. To simplify the square root of 5850 means to get the simplest radical form of √5850.

Step 1: List Factors
List the factors of 5850 like so:

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850

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

1, 9, 25, 225

Step 3: Divide
Divide 5850 by the largest perfect square you found in the previous step:

5850 / 225 = 26

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5850 in its simplest form:


15	√	26

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Decimal Form
Square Root of 5850 in Decimal form rounded to nearest 5 decimals:

76.48529

Exponent Form
Square Root of 5850 written with Exponent instead of Radical:

5850^½ = 15 x 26^½

Simplify Square Root of 5851
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* List of Perfect Squares