Math, asked by saishree07, 11 months ago

√192 solve with step by step explanation needed no spam or your answer will be deleted

Answers

Answered by Anonymous
30

Answer:

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Here we will show you step-by-step how to simplify the square root of 192. The square root of 192 can be written as follows:

√ 192

The √ symbol is called the radical sign. To simplify the square root of 192 means to get the simplest radical form of √192.

Step 1: List Factors

List the factors of 192 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4, 16, 64

Step 3: Divide

Divide 192 by the largest perfect square you found in the previous step:

192 / 64 = 3

Step 4: Calculate

Calculate the square root of the largest perfect square:

√64 = 8

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 192 in its simplest form:

8 √ 3

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