Simplify Square Root of 1460

Here we will show you step-by-step how to simplify the square root of 1460. The square root of 1460 can be written as follows:


	√	1460

The √ symbol is called the radical sign. To simplify the square root of 1460 means to get the simplest radical form of √1460.

Step 1: List Factors
List the factors of 1460 like so:

1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4

Step 3: Divide
Divide 1460 by the largest perfect square you found in the previous step:

1460 / 4 = 365

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 1460 in its simplest form:


2	√	365

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Decimal Form
Square Root of 1460 in Decimal form rounded to nearest 5 decimals:

38.20995

Exponent Form
Square Root of 1460 written with Exponent instead of Radical:

1460^½ = 2 x 365^½

Simplify Square Root of 1461
The answer to Simplify Square Root of 1460 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares