Simplify Square Root of 1445

Here we will show you step-by-step how to simplify the square root of 1445. The square root of 1445 can be written as follows:


	√	1445

The √ symbol is called the radical sign. To simplify the square root of 1445 means to get the simplest radical form of √1445.

Step 1: List Factors
List the factors of 1445 like so:

1, 5, 17, 85, 289, 1445

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

1, 289

Step 3: Divide
Divide 1445 by the largest perfect square you found in the previous step:

1445 / 289 = 5

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

√289 = 17

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1445 in its simplest form:


17	√	5

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Decimal Form
Square Root of 1445 in Decimal form rounded to nearest 5 decimals:

38.01316

Exponent Form
Square Root of 1445 written with Exponent instead of Radical:

1445^½ = 17 x 5^½

Simplify Square Root of 1446
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* List of Perfect Squares