Simplify Square Root of 5488

Here we will show you step-by-step how to simplify the square root of 5488. The square root of 5488 can be written as follows:


	√	5488

The √ symbol is called the radical sign. To simplify the square root of 5488 means to get the simplest radical form of √5488.

Step 1: List Factors
List the factors of 5488 like so:

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488

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

1, 4, 16, 49, 196, 784

Step 3: Divide
Divide 5488 by the largest perfect square you found in the previous step:

5488 / 784 = 7

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

√784 = 28

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5488 in its simplest form:


28	√	7

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Decimal Form
Square Root of 5488 in Decimal form rounded to nearest 5 decimals:

74.08104

Exponent Form
Square Root of 5488 written with Exponent instead of Radical:

5488^½ = 28 x 7^½

Simplify Square Root of 5489
The answer to Simplify Square Root of 5488 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares