Simplify Square Root of 4949

Here we will show you step-by-step how to simplify the square root of 4949. The square root of 4949 can be written as follows:


	√	4949

The √ symbol is called the radical sign. To simplify the square root of 4949 means to get the simplest radical form of √4949.

Step 1: List Factors
List the factors of 4949 like so:

1, 7, 49, 101, 707, 4949

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

1, 49

Step 3: Divide
Divide 4949 by the largest perfect square you found in the previous step:

4949 / 49 = 101

Step 4: Calculate
Calculate the square root of the largest perfect square:

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4949 in its simplest form:


7	√	101

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Decimal Form
Square Root of 4949 in Decimal form rounded to nearest 5 decimals:

70.34913

Exponent Form
Square Root of 4949 written with Exponent instead of Radical:

4949^½ = 7 x 101^½

Simplify Square Root of 4950
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* List of Perfect Squares