Here we will show you step-by-step how to simplify the square root of 1520. The square root of 1520 can be written as follows:
√ | 1520 |
The √ symbol is called the radical sign. To simplify the square root of 1520 means to get the simplest radical form of √1520.
Step 1: List Factors
List the factors of 1520 like so:
1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16
Step 3: Divide
Divide 1520 by the largest perfect square you found in the previous step:
1520 / 16 = 95
Step 4: Calculate
Calculate the square root of the largest perfect square:
√16 = 4
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1520 in its simplest form:
4 | √ | 95 |
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Decimal Form
Square Root of 1520 in Decimal form rounded to nearest 5 decimals:
38.98718
Exponent Form
Square Root of 1520 written with Exponent instead of Radical:
1520½ = 4 x 95½
Simplify Square Root of 1521
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* List of Perfect Squares
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