# find the square root of 10890?

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• This should be in garden section.

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• Don't wanna. Do you have a question?

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• You can estimate

100 x 100 = 10000

110 x 110 = 1100 + 11000 = 12100

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• The square root of 10890 = 104.3551627855565.

• Thanks for the comments. My answer was correct upto first order term.

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• Factor:  33 √10 <<< correct answer.

Calculator: 104.35516278555651795596348696628

But now round to 4 digits since 10890 has 4 digits (sigfigs)

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My calculator

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• Find the square root of 10890 by hand.

104^2 = 10816 which is 74 short

(104 + a)^2 = 10890

104^2 + 208a + a^2 = 104^2 + 74

a^2 + 208a = 74, but a < 1, so

a ~ 74/208 ~ 0.335 by long division

The square root of 10890 is about 104.335

Calculator gives 104.35516....

• poosies

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