Simplify Square Root of 1400

Here we will show you step-by-step how to simplify the square root of 1400. The square root of 1400 can be written as follows:


	√	1400

The √ symbol is called the radical sign. To simplify the square root of 1400 means to get the simplest radical form of √1400.

Step 1: List Factors
List the factors of 1400 like so:

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400

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

1, 4, 25, 100

Step 3: Divide
Divide 1400 by the largest perfect square you found in the previous step:

1400 / 100 = 14

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1400 in its simplest form:


10	√	14

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Decimal Form
Square Root of 1400 in Decimal form rounded to nearest 5 decimals:

37.41657

Exponent Form
Square Root of 1400 written with Exponent instead of Radical:

1400^½ = 10 x 14^½

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* List of Perfect Squares