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Here we will show you step-by-step how to simplify the square root of 1925. The square root of 1925 can be written as follows:
√ | 1925 |
The √ symbol is called the radical sign. To simplify the square root of 1925 means to get the simplest radical form of √1925.
Step 1: List Factors
List the factors of 1925 like so:
1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 25
Step 3: Divide
Divide 1925 by the largest perfect square you found in the previous step:
1925 / 25 = 77
Step 4: Calculate
Calculate the square root of the largest perfect square:
√25 = 5
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1925 in its simplest form:
5 | √ | 77 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 1925 in Decimal form rounded to nearest 5 decimals:
43.87482
Exponent Form
Square Root of 1925 written with Exponent instead of Radical:
1925½ = 5 x 77½
Simplify Square Root of 1926
The answer to Simplify Square Root of 1925 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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