Here we will show you step-by-step how to simplify the square root of 105. The square root of 105 can be written as follows:
√ | 105 |
The √ symbol is called the radical sign. To simplify the square root of 105 means to get simplest radical form of √105.
Step 1: List Factors
List the factors of 105 like so:
1, 3, 5, 7, 15, 21, 35, 105
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1
Since 1 is the only perfect square above, the square root of 105 cannot be simplified.
However, you may be interested in the decimal and exponent form instead.
Square root of 105 in Decimal form rounded to nearest 5 decimals:
10.24695
Square root of 105 written with Exponent instead of Radical:
105½
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Simplify Square Root of 106
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* List of Perfect Squares
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