Simplify Square Root of 1152

Here we will show you step-by-step how to simplify the square root of 1152. The square root of 1152 can be written as follows:


	√	1152

The √ symbol is called the radical sign. To simplify the square root of 1152 means to get the simplest radical form of √1152.

Step 1: List Factors
List the factors of 1152 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152

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

1, 4, 9, 16, 36, 64, 144, 576

Step 3: Divide
Divide 1152 by the largest perfect square you found in the previous step:

1152 / 576 = 2

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

√576 = 24

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1152 in its simplest form:


24	√	2

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Decimal Form
Square Root of 1152 in Decimal form rounded to nearest 5 decimals:

33.94113

Exponent Form
Square Root of 1152 written with Exponent instead of Radical:

1152^½ = 24 x 2^½

Simplify Square Root of 1153
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* List of Perfect Squares