Simplify Square Root of 1127

Here we will show you step-by-step how to simplify the square root of 1127. The square root of 1127 can be written as follows:


	√	1127

The √ symbol is called the radical sign. To simplify the square root of 1127 means to get the simplest radical form of √1127.

Step 1: List Factors
List the factors of 1127 like so:

1, 7, 23, 49, 161, 1127

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

1, 49

Step 3: Divide
Divide 1127 by the largest perfect square you found in the previous step:

1127 / 49 = 23

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1127 in its simplest form:


7	√	23

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Decimal Form
Square Root of 1127 in Decimal form rounded to nearest 5 decimals:

33.57082

Exponent Form
Square Root of 1127 written with Exponent instead of Radical:

1127^½ = 7 x 23^½

Simplify Square Root of 1128
The answer to Simplify Square Root of 1127 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares