
Here we will show you step-by-step how to simplify the square root of 5750. The square root of 5750 can be written as follows:
√ | 5750 |
The √ symbol is called the radical sign. To simplify the square root of 5750 means to get the simplest radical form of √5750.
Step 1: List Factors
List the factors of 5750 like so:
1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 25
Step 3: Divide
Divide 5750 by the largest perfect square you found in the previous step:
5750 / 25 = 230
Step 4: Calculate
Calculate the square root of the largest perfect square:
√25 = 5
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5750 in its simplest form:
5 | √ | 230 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 5750 in Decimal form rounded to nearest 5 decimals:
75.82875
Exponent Form
Square Root of 5750 written with Exponent instead of Radical:
5750½ = 5 x 230½
Simplify Square Root of 5751
The answer to Simplify Square Root of 5750 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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