Simplify Square Root of 2475

Here we will show you step-by-step how to simplify the square root of 2475. The square root of 2475 can be written as follows:


	√	2475

The √ symbol is called the radical sign. To simplify the square root of 2475 means to get the simplest radical form of √2475.

Step 1: List Factors
List the factors of 2475 like so:

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475

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

1, 9, 25, 225

Step 3: Divide
Divide 2475 by the largest perfect square you found in the previous step:

2475 / 225 = 11

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 2475 in its simplest form:


15	√	11

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Decimal Form
Square Root of 2475 in Decimal form rounded to nearest 5 decimals:

49.74937

Exponent Form
Square Root of 2475 written with Exponent instead of Radical:

2475^½ = 15 x 11^½

Simplify Square Root of 2476
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* List of Perfect Squares