Here we will show you step-by-step how to simplify the square root of 99. The square root of 99 can be written as follows:
√ | 99 |
The √ symbol is called the radical sign. To simplify the square root of 99 means to get the simplest radical form of √99.
Step 1: List Factors
List the factors of 99 like so:
1, 3, 9, 11, 33, 99
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9
Step 3: Divide
Divide 99 by the largest perfect square you found in the previous step:
99 / 9 = 11
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 99 in its simplest form:
3 | √ | 11 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 99 in Decimal form rounded to nearest 5 decimals:
9.94987
Exponent Form
Square Root of 99 written with Exponent instead of Radical:
99½ = 3 x 11½
Simplify Square Root of 100
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* List of Perfect Squares
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