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In Mathematics / Middle School | 2014-10-30

Each square root is between two consecutive integers. Name the integers.

Explain all of these questions, please.

\[ \sqrt{90} \quad \sqrt{306} \quad \sqrt{73} \quad \sqrt{236} \quad \sqrt{74} \quad \sqrt{3600} \quad \sqrt{5120} \]

Asked by jonesslater

Answer (2)

√a x √b =√axb so find 2 numbers that multiple to make the number (1 must be a square number)
√90 can be split into √9 x √10 and √9 is 3 so is 3√10 and the next questions are solved the same
√306 is 3√34
√73 is 3√8
√236 is 2√59
√3600 is 60
√5120 is 8√80

Answered by jamiesm | 2024-06-10

Each square root given is placed between two consecutive integers based on the closest perfect squares. For example, 90 ​ is between 9 and 10, while 3600 ​ is exactly 60. The other square roots have been similarly analyzed and compared using their respective perfect squares.
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Answered by Anonymous | 2024-10-16