Simplify Square Root of 630

Here we will show you step-by-step how to simplify the square root of 630. The square root of 630 can be written as follows:


	√	630

The √ symbol is called the radical sign. To simplify the square root of 630 means to get the simplest radical form of √630.

Step 1: List Factors
List the factors of 630 like so:

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

1, 9

Step 3: Divide
Divide 630 by the largest perfect square you found in the previous step:

630 / 9 = 70

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 630 in its simplest form:


3	√	70

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Decimal Form
Square Root of 630 in Decimal form rounded to nearest 5 decimals:

25.0998

Exponent Form
Square Root of 630 written with Exponent instead of Radical:

630^½ = 3 x 70^½

Simplify Square Root of 631
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* List of Perfect Squares