Simplify Square Root of 7470

Here we will show you step-by-step how to simplify the square root of 7470. The square root of 7470 can be written as follows:


	√	7470

The √ symbol is called the radical sign. To simplify the square root of 7470 means to get the simplest radical form of √7470.

Step 1: List Factors
List the factors of 7470 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470

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

1, 9

Step 3: Divide
Divide 7470 by the largest perfect square you found in the previous step:

7470 / 9 = 830

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 7470 in its simplest form:


3	√	830

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Decimal Form
Square Root of 7470 in Decimal form rounded to nearest 5 decimals:

86.42916

Exponent Form
Square Root of 7470 written with Exponent instead of Radical:

7470^½ = 3 x 830^½

Simplify Square Root of 7471
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* List of Perfect Squares