Simplify Square Root of 6148

Here we will show you step-by-step how to simplify the square root of 6148. The square root of 6148 can be written as follows:


	√	6148

The √ symbol is called the radical sign. To simplify the square root of 6148 means to get the simplest radical form of √6148.

Step 1: List Factors
List the factors of 6148 like so:

1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148

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

1, 4

Step 3: Divide
Divide 6148 by the largest perfect square you found in the previous step:

6148 / 4 = 1537

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6148 in its simplest form:


2	√	1537

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Decimal Form
Square Root of 6148 in Decimal form rounded to nearest 5 decimals:

78.40918

Exponent Form
Square Root of 6148 written with Exponent instead of Radical:

6148^½ = 2 x 1537^½

Simplify Square Root of 6149
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* List of Perfect Squares