Simplify Square Root of 5445

Here we will show you step-by-step how to simplify the square root of 5445. The square root of 5445 can be written as follows:


	√	5445

The √ symbol is called the radical sign. To simplify the square root of 5445 means to get the simplest radical form of √5445.

Step 1: List Factors
List the factors of 5445 like so:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445

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

1, 9, 121, 1089

Step 3: Divide
Divide 5445 by the largest perfect square you found in the previous step:

5445 / 1089 = 5

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

√1089 = 33

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5445 in its simplest form:


33	√	5

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Decimal Form
Square Root of 5445 in Decimal form rounded to nearest 5 decimals:

73.79024

Exponent Form
Square Root of 5445 written with Exponent instead of Radical:

5445^½ = 33 x 5^½

Simplify Square Root of 5446
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* List of Perfect Squares