Question

squareroot of 10872

answer wisely​

Answer 1

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The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 10872 to simplify the square root of 10872. This is how to calculate A and B using this method:

A = Calculate the square root of the greatest perfect square from the list of all factors of 10872. The factors of 10872 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436, and 10872. Furthermore, the greatest perfect square on this list is 36 and the square root of 36 is 6. Therefore, A equals 6.

B = Calculate 10872 divided by the greatest perfect square from the list of all factors of 10872. We determined above that the greatest perfect square from the list of all factors of 10872 is 36. Furthermore, 10872 divided by 36 is 302, therefore B equals 302.

Now we have A and B and can get our answer to 10872 in its simplest radical form as follows:

√10872 = A√B

√10872 = 6√302

Answer 2

Step-by-step explanation:

10872 = 22233151

⇒ 10872 = 2221321511

Therefore, √10872 = √(2221321511)

√10872 = √(2232) √(211511)

= 6 √302