Simplify Square Root of 425

Here we will show you step-by-step how to simplify the square root of 425. The square root of 425 can be written as follows:


	√	425

The √ symbol is called the radical sign. To simplify the square root of 425 means to get the simplest radical form of √425.

Step 1: List Factors
List the factors of 425 like so:

1, 5, 17, 25, 85, 425

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

1, 25

Step 3: Divide
Divide 425 by the largest perfect square you found in the previous step:

425 / 25 = 17

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 425 in its simplest form:


5	√	17

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Decimal Form
Square Root of 425 in Decimal form rounded to nearest 5 decimals:

20.61553

Exponent Form
Square Root of 425 written with Exponent instead of Radical:

425^½ = 5 x 17^½

Simplify Square Root of 426
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* List of Perfect Squares