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Here we will show you step-by-step how to simplify the square root of 1425. The square root of 1425 can be written as follows:
√ | 1425 |
The √ symbol is called the radical sign. To simplify the square root of 1425 means to get the simplest radical form of √1425.
Step 1: List Factors
List the factors of 1425 like so:
1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 25
Step 3: Divide
Divide 1425 by the largest perfect square you found in the previous step:
1425 / 25 = 57
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 1425 in its simplest form:
5 | √ | 57 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 1425 in Decimal form rounded to nearest 5 decimals:
37.74917
Exponent Form
Square Root of 1425 written with Exponent instead of Radical:
1425½ = 5 x 57½
Simplify Square Root of 1426
The answer to Simplify Square Root of 1425 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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