Simplify Square Root of 1950

Here we will show you step-by-step how to simplify the square root of 1950. The square root of 1950 can be written as follows:


	√	1950

The √ symbol is called the radical sign. To simplify the square root of 1950 means to get the simplest radical form of √1950.

Step 1: List Factors
List the factors of 1950 like so:

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

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

1, 25

Step 3: Divide
Divide 1950 by the largest perfect square you found in the previous step:

1950 / 25 = 78

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 1950 in its simplest form:


5	√	78

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Decimal Form
Square Root of 1950 in Decimal form rounded to nearest 5 decimals:

44.1588

Exponent Form
Square Root of 1950 written with Exponent instead of Radical:

1950^½ = 5 x 78^½

Simplify Square Root of 1951
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* List of Perfect Squares