Simplify Square Root of 693

Here we will show you step-by-step how to simplify the square root of 693. The square root of 693 can be written as follows:


	√	693

The √ symbol is called the radical sign. To simplify the square root of 693 means to get the simplest radical form of √693.

Step 1: List Factors
List the factors of 693 like so:

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

1, 9

Step 3: Divide
Divide 693 by the largest perfect square you found in the previous step:

693 / 9 = 77

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 693 in its simplest form:


3	√	77

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Decimal Form
Square Root of 693 in Decimal form rounded to nearest 5 decimals:

26.32489

Exponent Form
Square Root of 693 written with Exponent instead of Radical:

693^½ = 3 x 77^½

Simplify Square Root of 694
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* List of Perfect Squares