
Here we will show you step-by-step how to simplify the square root of 7100. The square root of 7100 can be written as follows:
√ | 7100 |
The √ symbol is called the radical sign. To simplify the square root of 7100 means to get the simplest radical form of √7100.
Step 1: List Factors
List the factors of 7100 like so:
1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 25, 100
Step 3: Divide
Divide 7100 by the largest perfect square you found in the previous step:
7100 / 100 = 71
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 7100 in its simplest form:
10 | √ | 71 |
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Decimal Form
Square Root of 7100 in Decimal form rounded to nearest 5 decimals:
84.2615
Exponent Form
Square Root of 7100 written with Exponent instead of Radical:
7100½ = 10 x 71½
Simplify Square Root of 7101
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* List of Perfect Squares
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