Simplify Square Root of 4960

Here we will show you step-by-step how to simplify the square root of 4960. The square root of 4960 can be written as follows:


	√	4960

The √ symbol is called the radical sign. To simplify the square root of 4960 means to get the simplest radical form of √4960.

Step 1: List Factors
List the factors of 4960 like so:

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960

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

1, 4, 16

Step 3: Divide
Divide 4960 by the largest perfect square you found in the previous step:

4960 / 16 = 310

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 4960 in its simplest form:


4	√	310

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Decimal Form
Square Root of 4960 in Decimal form rounded to nearest 5 decimals:

70.42727

Exponent Form
Square Root of 4960 written with Exponent instead of Radical:

4960^½ = 4 x 310^½

Simplify Square Root of 4961
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* List of Perfect Squares