Here we will show you step-by-step how to simplify the square root of 1504. The square root of 1504 can be written as follows:
√ | 1504 |
The √ symbol is called the radical sign. To simplify the square root of 1504 means to get the simplest radical form of √1504.
Step 1: List Factors
List the factors of 1504 like so:
1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16
Step 3: Divide
Divide 1504 by the largest perfect square you found in the previous step:
1504 / 16 = 94
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 1504 in its simplest form:
4 | √ | 94 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 1504 in Decimal form rounded to nearest 5 decimals:
38.78144
Exponent Form
Square Root of 1504 written with Exponent instead of Radical:
1504½ = 4 x 94½
Simplify Square Root of 1505
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* List of Perfect Squares
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