Simplify Square Root of 90

Here we will show you step-by-step how to simplify the square root of 90. The square root of 90 can be written as follows:


	√	90

The √ symbol is called the radical sign. To simplify the square root of 90 means to get the simplest radical form of √90.

Step 1: List Factors
List the factors of 90 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

1, 9

Step 3: Divide
Divide 90 by the largest perfect square you found in the previous step:

90 / 9 = 10

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 90 in its simplest form:


3	√	10

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Decimal Form
Square Root of 90 in Decimal form rounded to nearest 5 decimals:

9.48683

Exponent Form
Square Root of 90 written with Exponent instead of Radical:

90^½ = 3 x 10^½

Simplify Square Root of 91
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* List of Perfect Squares