Simplify Square Root of 7488

Here we will show you step-by-step how to simplify the square root of 7488. The square root of 7488 can be written as follows:


	√	7488

The √ symbol is called the radical sign. To simplify the square root of 7488 means to get the simplest radical form of √7488.

Step 1: List Factors
List the factors of 7488 like so:

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488

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 7488 by the largest perfect square you found in the previous step:

7488 / 576 = 13

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 7488 in its simplest form:


24	√	13

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Decimal Form
Square Root of 7488 in Decimal form rounded to nearest 5 decimals:

86.53323

Exponent Form
Square Root of 7488 written with Exponent instead of Radical:

7488^½ = 24 x 13^½

Simplify Square Root of 7489
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* List of Perfect Squares