Simplify Square Root of 5408

Here we will show you step-by-step how to simplify the square root of 5408. The square root of 5408 can be written as follows:


	√	5408

The √ symbol is called the radical sign. To simplify the square root of 5408 means to get the simplest radical form of √5408.

Step 1: List Factors
List the factors of 5408 like so:

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408

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

1, 4, 16, 169, 676, 2704

Step 3: Divide
Divide 5408 by the largest perfect square you found in the previous step:

5408 / 2704 = 2

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

√2704 = 52

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5408 in its simplest form:


52	√	2

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Decimal Form
Square Root of 5408 in Decimal form rounded to nearest 5 decimals:

73.53911

Exponent Form
Square Root of 5408 written with Exponent instead of Radical:

5408^½ = 52 x 2^½

Simplify Square Root of 5409
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* List of Perfect Squares