Simplify Square Root of 6345

Here we will show you step-by-step how to simplify the square root of 6345. The square root of 6345 can be written as follows:


	√	6345

The √ symbol is called the radical sign. To simplify the square root of 6345 means to get the simplest radical form of √6345.

Step 1: List Factors
List the factors of 6345 like so:

1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345

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

1, 9

Step 3: Divide
Divide 6345 by the largest perfect square you found in the previous step:

6345 / 9 = 705

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 6345 in its simplest form:


3	√	705

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Decimal Form
Square Root of 6345 in Decimal form rounded to nearest 5 decimals:

79.65551

Exponent Form
Square Root of 6345 written with Exponent instead of Radical:

6345^½ = 3 x 705^½

Simplify Square Root of 6346
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* List of Perfect Squares