Here we will show you step-by-step how to simplify the square root of 1975. The square root of 1975 can be written as follows:
√ | 1975 |
The √ symbol is called the radical sign. To simplify the square root of 1975 means to get the simplest radical form of √1975.
Step 1: List Factors
List the factors of 1975 like so:
1, 5, 25, 79, 395, 1975
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 25
Step 3: Divide
Divide 1975 by the largest perfect square you found in the previous step:
1975 / 25 = 79
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 1975 in its simplest form:
5 | √ | 79 |
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Decimal Form
Square Root of 1975 in Decimal form rounded to nearest 5 decimals:
44.44097
Exponent Form
Square Root of 1975 written with Exponent instead of Radical:
1975½ = 5 x 79½
Simplify Square Root of 1976
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* List of Perfect Squares
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