Here we will show you step-by-step how to simplify the square root of 1956. The square root of 1956 can be written as follows:
√ | 1956 |
The √ symbol is called the radical sign. To simplify the square root of 1956 means to get the simplest radical form of √1956.
Step 1: List Factors
List the factors of 1956 like so:
1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 1956 by the largest perfect square you found in the previous step:
1956 / 4 = 489
Step 4: Calculate
Calculate the square root of the largest perfect square:
√4 = 2
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1956 in its simplest form:
2 | √ | 489 |
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Decimal Form
Square Root of 1956 in Decimal form rounded to nearest 5 decimals:
44.22669
Exponent Form
Square Root of 1956 written with Exponent instead of Radical:
1956½ = 2 x 489½
Simplify Square Root of 1957
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* List of Perfect Squares
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