Simplify Square Root of 2050

Here we will show you step-by-step how to simplify the square root of 2050. The square root of 2050 can be written as follows:


	√	2050

The √ symbol is called the radical sign. To simplify the square root of 2050 means to get the simplest radical form of √2050.

Step 1: List Factors
List the factors of 2050 like so:

1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050

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

1, 25

Step 3: Divide
Divide 2050 by the largest perfect square you found in the previous step:

2050 / 25 = 82

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 2050 in its simplest form:


5	√	82

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Decimal Form
Square Root of 2050 in Decimal form rounded to nearest 5 decimals:

45.27693

Exponent Form
Square Root of 2050 written with Exponent instead of Radical:

2050^½ = 5 x 82^½

Simplify Square Root of 2051
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* List of Perfect Squares