find the square root of 13/7 correct to 3 places of decimal
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With a calculator: 3.605551275, so rounded to 3.606 (3dp).
Without a calculator sqrt (9)=3 and sqrt (16)=4, so start using manual trial and improvement at 3.5 or 3.6 because 13 is about halfway between but closer to 16 than 9.
EDIT: I forgot to mention that -3.606 (3dp) is also a solution.
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hope it helps you
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