
Here we will show you step-by-step how to simplify the square root of 1700. The square root of 1700 can be written as follows:
√ | 1700 |
The √ symbol is called the radical sign. To simplify the square root of 1700 means to get the simplest radical form of √1700.
Step 1: List Factors
List the factors of 1700 like so:
1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 25, 100
Step 3: Divide
Divide 1700 by the largest perfect square you found in the previous step:
1700 / 100 = 17
Step 4: Calculate
Calculate the square root of the largest perfect square:
√100 = 10
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1700 in its simplest form:
10 | √ | 17 |
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Decimal Form
Square Root of 1700 in Decimal form rounded to nearest 5 decimals:
41.23106
Exponent Form
Square Root of 1700 written with Exponent instead of Radical:
1700½ = 10 x 17½
Simplify Square Root of 1701
The answer to Simplify Square Root of 1700 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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