Simplify Square Root of 675

Here we will show you step-by-step how to simplify the square root of 675. The square root of 675 can be written as follows:


	√	675

The √ symbol is called the radical sign. To simplify the square root of 675 means to get the simplest radical form of √675.

Step 1: List Factors
List the factors of 675 like so:

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

1, 9, 25, 225

Step 3: Divide
Divide 675 by the largest perfect square you found in the previous step:

675 / 225 = 3

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 675 in its simplest form:


15	√	3

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Decimal Form
Square Root of 675 in Decimal form rounded to nearest 5 decimals:

25.98076

Exponent Form
Square Root of 675 written with Exponent instead of Radical:

675^½ = 15 x 3^½

Simplify Square Root of 676
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* List of Perfect Squares