Simplify Square Root of 2048

Here we will show you step-by-step how to simplify the square root of 2048. The square root of 2048 can be written as follows:


	√	2048

The √ symbol is called the radical sign. To simplify the square root of 2048 means to get the simplest radical form of √2048.

Step 1: List Factors
List the factors of 2048 like so:

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

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

1, 4, 16, 64, 256, 1024

Step 3: Divide
Divide 2048 by the largest perfect square you found in the previous step:

2048 / 1024 = 2

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

√1024 = 32

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2048 in its simplest form:


32	√	2

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Decimal Form
Square Root of 2048 in Decimal form rounded to nearest 5 decimals:

45.25483

Exponent Form
Square Root of 2048 written with Exponent instead of Radical:

2048^½ = 32 x 2^½

Simplify Square Root of 2049
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* List of Perfect Squares