Simplify Square Root of 7290

Here we will show you step-by-step how to simplify the square root of 7290. The square root of 7290 can be written as follows:


	√	7290

The √ symbol is called the radical sign. To simplify the square root of 7290 means to get the simplest radical form of √7290.

Step 1: List Factors
List the factors of 7290 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290

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

1, 9, 81, 729

Step 3: Divide
Divide 7290 by the largest perfect square you found in the previous step:

7290 / 729 = 10

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

√729 = 27

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7290 in its simplest form:


27	√	10

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Decimal Form
Square Root of 7290 in Decimal form rounded to nearest 5 decimals:

85.3815

Exponent Form
Square Root of 7290 written with Exponent instead of Radical:

7290^½ = 27 x 10^½

Simplify Square Root of 7291
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* List of Perfect Squares