Simplify Square Root of 8978

Here we will show you step-by-step how to simplify the square root of 8978. The square root of 8978 can be written as follows:


	√	8978

The √ symbol is called the radical sign. To simplify the square root of 8978 means to get the simplest radical form of √8978.

Step 1: List Factors
List the factors of 8978 like so:

1, 2, 67, 134, 4489, 8978

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

1, 4489

Step 3: Divide
Divide 8978 by the largest perfect square you found in the previous step:

8978 / 4489 = 2

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

√4489 = 67

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8978 in its simplest form:


67	√	2

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Decimal Form
Square Root of 8978 in Decimal form rounded to nearest 5 decimals:

94.75231

Exponent Form
Square Root of 8978 written with Exponent instead of Radical:

8978^½ = 67 x 2^½

Simplify Square Root of 8979
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* List of Perfect Squares