Simplify Square Root of 7448

Here we will show you step-by-step how to simplify the square root of 7448. The square root of 7448 can be written as follows:


	√	7448

The √ symbol is called the radical sign. To simplify the square root of 7448 means to get the simplest radical form of √7448.

Step 1: List Factors
List the factors of 7448 like so:

1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448

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

1, 4, 49, 196

Step 3: Divide
Divide 7448 by the largest perfect square you found in the previous step:

7448 / 196 = 38

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7448 in its simplest form:


14	√	38

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Decimal Form
Square Root of 7448 in Decimal form rounded to nearest 5 decimals:

86.3018

Exponent Form
Square Root of 7448 written with Exponent instead of Radical:

7448^½ = 14 x 38^½

Simplify Square Root of 7449
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* List of Perfect Squares