Simplify Square Root of 7650

Here we will show you step-by-step how to simplify the square root of 7650. The square root of 7650 can be written as follows:


	√	7650

The √ symbol is called the radical sign. To simplify the square root of 7650 means to get the simplest radical form of √7650.

Step 1: List Factors
List the factors of 7650 like so:

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650

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

1, 9, 25, 225

Step 3: Divide
Divide 7650 by the largest perfect square you found in the previous step:

7650 / 225 = 34

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7650 in its simplest form:


15	√	34

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Decimal Form
Square Root of 7650 in Decimal form rounded to nearest 5 decimals:

87.46428

Exponent Form
Square Root of 7650 written with Exponent instead of Radical:

7650^½ = 15 x 34^½

Simplify Square Root of 7651
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* List of Perfect Squares