What is the value of 55−−√ to the nearest tenth? Show or explain how you got your answer.
1 answer:
9514 1404 393
Answer:
√55 ≈ 7.4
Step-by-step explanation:
The easiest way to find the square root of 55 is to use a calculator.
√55 ≈ 7.4161984871
Rounded to the nearest tenth, this is ...
√55 ≈ 7.4
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You can make a first approximation of the root by linearly interpolating between the roots of the perfect squares* on either side of 55.
√49 = 7
√64 = 8
√55 ≈ 7 +(55 -49)/(64 -49) = 7 6/15 = 7 2/5
√55 ≈ 7.4
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* For numbers greater than 3.3, this sort of approximation will give the value of the root accurate to the nearest tenth. The approximation is better for larger numbers.
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