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91Ó°ÊÓ

Between which two consecutive integers is \(-\sqrt{47}\) ?

Short Answer

Expert verified
The number \(-\sqrt{47}\) lies between -7 and -6.

Step by step solution

01

Calculate Square Root

Find the square root of 47, which is approximately \(6.8556546004\).
02

Negative Square Root

To obtain \(-\sqrt{47}\), negate the square root calculated in step 1, giving us \(-6.8556546004\).
03

Find Consecutive Integers

To find the two consecutive integers between which this value lies, observe that this value is less than -6 but more than -7. Thus, the two consecutive integers are -7 and -6.

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