Here we will show you step-by-step how to simplify the square root of 1496. The square root of 1496 can be written as follows:
√ | 1496 |
The √ symbol is called the radical sign. To simplify the square root of 1496 means to get the simplest radical form of √1496.
Step 1: List Factors
List the factors of 1496 like so:
1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 1496 by the largest perfect square you found in the previous step:
1496 / 4 = 374
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 1496 in its simplest form:
2 | √ | 374 |
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Decimal Form
Square Root of 1496 in Decimal form rounded to nearest 5 decimals:
38.67816
Exponent Form
Square Root of 1496 written with Exponent instead of Radical:
1496½ = 2 x 374½
Simplify Square Root of 1497
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* List of Perfect Squares
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