Simplify Square Root of 9464

Here we will show you step-by-step how to simplify the square root of 9464. The square root of 9464 can be written as follows:


	√	9464

The √ symbol is called the radical sign. To simplify the square root of 9464 means to get the simplest radical form of √9464.

Step 1: List Factors
List the factors of 9464 like so:

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464

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

1, 4, 169, 676

Step 3: Divide
Divide 9464 by the largest perfect square you found in the previous step:

9464 / 676 = 14

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

√676 = 26

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9464 in its simplest form:


26	√	14

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Decimal Form
Square Root of 9464 in Decimal form rounded to nearest 5 decimals:

97.28309

Exponent Form
Square Root of 9464 written with Exponent instead of Radical:

9464^½ = 26 x 14^½

Simplify Square Root of 9465
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* List of Perfect Squares