Simplify Square Root of 1424

Here we will show you step-by-step how to simplify the square root of 1424. The square root of 1424 can be written as follows:
 √ 1424

The √ symbol is called the radical sign. To simplify the square root of 1424 means to get the simplest radical form of √1424.

Step 1: List Factors
List the factors of 1424 like so:

1, 2, 4, 8, 16, 89, 178, 356, 712, 1424

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

1, 4, 16

Step 3: Divide
Divide 1424 by the largest perfect square you found in the previous step:

1424 / 16 = 89

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

√16 = 4

Put Steps 3 and 4 together to get the square root of 1424 in its simplest form:
 4 √ 89

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Decimal Form
Square Root of 1424 in Decimal form rounded to nearest 5 decimals:

37.73592

Exponent Form

1424½ = 4 x 89½

Simplify Square Root of 1425
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* List of Perfect Squares