Simplify Square Root of 1040

Here we will show you step-by-step how to simplify the square root of 1040. The square root of 1040 can be written as follows:


	√	1040

The √ symbol is called the radical sign. To simplify the square root of 1040 means to get the simplest radical form of √1040.

Step 1: List Factors
List the factors of 1040 like so:

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040

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

1, 4, 16

Step 3: Divide
Divide 1040 by the largest perfect square you found in the previous step:

1040 / 16 = 65

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1040 in its simplest form:


4	√	65

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Decimal Form
Square Root of 1040 in Decimal form rounded to nearest 5 decimals:

32.24903

Exponent Form
Square Root of 1040 written with Exponent instead of Radical:

1040^½ = 4 x 65^½

Simplify Square Root of 1041
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* List of Perfect Squares