Simplify Square Root of 750

Here we will show you step-by-step how to simplify the square root of 750. The square root of 750 can be written as follows:


	√	750

The √ symbol is called the radical sign. To simplify the square root of 750 means to get the simplest radical form of √750.

Step 1: List Factors
List the factors of 750 like so:

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

1, 25

Step 3: Divide
Divide 750 by the largest perfect square you found in the previous step:

750 / 25 = 30

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 750 in its simplest form:


5	√	30

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Decimal Form
Square Root of 750 in Decimal form rounded to nearest 5 decimals:

27.38613

Exponent Form
Square Root of 750 written with Exponent instead of Radical:

750^½ = 5 x 30^½

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* List of Perfect Squares