Simplify Square Root of 7350

Here we will show you step-by-step how to simplify the square root of 7350. The square root of 7350 can be written as follows:


	√	7350

The √ symbol is called the radical sign. To simplify the square root of 7350 means to get the simplest radical form of √7350.

Step 1: List Factors
List the factors of 7350 like so:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350

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

1, 25, 49, 1225

Step 3: Divide
Divide 7350 by the largest perfect square you found in the previous step:

7350 / 1225 = 6

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

√1225 = 35

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7350 in its simplest form:


35	√	6

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Decimal Form
Square Root of 7350 in Decimal form rounded to nearest 5 decimals:

85.73214

Exponent Form
Square Root of 7350 written with Exponent instead of Radical:

7350^½ = 35 x 6^½

Simplify Square Root of 7351
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* List of Perfect Squares