Simplify Square Root of 525

Here we will show you step-by-step how to simplify the square root of 525. The square root of 525 can be written as follows:


	√	525

The √ symbol is called the radical sign. To simplify the square root of 525 means to get the simplest radical form of √525.

Step 1: List Factors
List the factors of 525 like so:

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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

1, 25

Step 3: Divide
Divide 525 by the largest perfect square you found in the previous step:

525 / 25 = 21

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 525 in its simplest form:


5	√	21

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Decimal Form
Square Root of 525 in Decimal form rounded to nearest 5 decimals:

22.91288

Exponent Form
Square Root of 525 written with Exponent instead of Radical:

525^½ = 5 x 21^½

Simplify Square Root of 526
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* List of Perfect Squares