
Here we will show you step-by-step how to simplify the square root of 4230. The square root of 4230 can be written as follows:
√ | 4230 |
The √ symbol is called the radical sign. To simplify the square root of 4230 means to get the simplest radical form of √4230.
Step 1: List Factors
List the factors of 4230 like so:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9
Step 3: Divide
Divide 4230 by the largest perfect square you found in the previous step:
4230 / 9 = 470
Step 4: Calculate
Calculate the square root of the largest perfect square:
√9 = 3
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4230 in its simplest form:
3 | √ | 470 |
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Decimal Form
Square Root of 4230 in Decimal form rounded to nearest 5 decimals:
65.03845
Exponent Form
Square Root of 4230 written with Exponent instead of Radical:
4230½ = 3 x 470½
Simplify Square Root of 4231
The answer to Simplify Square Root of 4230 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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