Simplify Square Root of 450

Here we will show you step-by-step how to simplify the square root of 450. The square root of 450 can be written as follows:


	√	450

The √ symbol is called the radical sign. To simplify the square root of 450 means to get the simplest radical form of √450.

Step 1: List Factors
List the factors of 450 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

1, 9, 25, 225

Step 3: Divide
Divide 450 by the largest perfect square you found in the previous step:

450 / 225 = 2

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 450 in its simplest form:


15	√	2

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Decimal Form
Square Root of 450 in Decimal form rounded to nearest 5 decimals:

21.2132

Exponent Form
Square Root of 450 written with Exponent instead of Radical:

450^½ = 15 x 2^½

Simplify Square Root of 451
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* List of Perfect Squares