Simplify Square Root of 1470

Here we will show you step-by-step how to simplify the square root of 1470. The square root of 1470 can be written as follows:


	√	1470

The √ symbol is called the radical sign. To simplify the square root of 1470 means to get the simplest radical form of √1470.

Step 1: List Factors
List the factors of 1470 like so:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470

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

1, 49

Step 3: Divide
Divide 1470 by the largest perfect square you found in the previous step:

1470 / 49 = 30

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1470 in its simplest form:


7	√	30

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Decimal Form
Square Root of 1470 in Decimal form rounded to nearest 5 decimals:

38.34058

Exponent Form
Square Root of 1470 written with Exponent instead of Radical:

1470^½ = 7 x 30^½

Simplify Square Root of 1471
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* List of Perfect Squares