
Here we will show you step-by-step how to simplify the square root of 2828. The square root of 2828 can be written as follows:
√ | 2828 |
The √ symbol is called the radical sign. To simplify the square root of 2828 means to get the simplest radical form of √2828.
Step 1: List Factors
List the factors of 2828 like so:
1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 2828 by the largest perfect square you found in the previous step:
2828 / 4 = 707
Step 4: Calculate
Calculate the square root of the largest perfect square:
√4 = 2
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2828 in its simplest form:
2 | √ | 707 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 2828 in Decimal form rounded to nearest 5 decimals:
53.17894
Exponent Form
Square Root of 2828 written with Exponent instead of Radical:
2828½ = 2 x 707½
Simplify Square Root of 2829
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* List of Perfect Squares
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