Simplify Square Root of 605

Here we will show you step-by-step how to simplify the square root of 605. The square root of 605 can be written as follows:


	√	605

The √ symbol is called the radical sign. To simplify the square root of 605 means to get the simplest radical form of √605.

Step 1: List Factors
List the factors of 605 like so:

1, 5, 11, 55, 121, 605

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

1, 121

Step 3: Divide
Divide 605 by the largest perfect square you found in the previous step:

605 / 121 = 5

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 605 in its simplest form:


11	√	5

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Decimal Form
Square Root of 605 in Decimal form rounded to nearest 5 decimals:

24.59675

Exponent Form
Square Root of 605 written with Exponent instead of Radical:

605^½ = 11 x 5^½

Simplify Square Root of 606
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* List of Perfect Squares