Simplify Square Root of 8750

Here we will show you step-by-step how to simplify the square root of 8750. The square root of 8750 can be written as follows:


	√	8750

The √ symbol is called the radical sign. To simplify the square root of 8750 means to get the simplest radical form of √8750.

Step 1: List Factors
List the factors of 8750 like so:

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750

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

1, 25, 625

Step 3: Divide
Divide 8750 by the largest perfect square you found in the previous step:

8750 / 625 = 14

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

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8750 in its simplest form:


25	√	14

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Decimal Form
Square Root of 8750 in Decimal form rounded to nearest 5 decimals:

93.54143

Exponent Form
Square Root of 8750 written with Exponent instead of Radical:

8750^½ = 25 x 14^½

Simplify Square Root of 8751
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* List of Perfect Squares