
Here we will show you step-by-step how to simplify the square root of 6528. The square root of 6528 can be written as follows:
√ | 6528 |
The √ symbol is called the radical sign. To simplify the square root of 6528 means to get the simplest radical form of √6528.
Step 1: List Factors
List the factors of 6528 like so:
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16, 64
Step 3: Divide
Divide 6528 by the largest perfect square you found in the previous step:
6528 / 64 = 102
Step 4: Calculate
Calculate the square root of the largest perfect square:
√64 = 8
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6528 in its simplest form:
8 | √ | 102 |
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Decimal Form
Square Root of 6528 in Decimal form rounded to nearest 5 decimals:
80.79604
Exponent Form
Square Root of 6528 written with Exponent instead of Radical:
6528½ = 8 x 102½
Simplify Square Root of 6529
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* List of Perfect Squares
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