Between which two integers does -√46 appear on the number line please write in words

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Explanation:

List out the perfect squares

and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.

We can say 6^2 < 46 < 7^2

Applying the square root to all three sides leads us to 6 < sqrt(46) < 7

Now multiply all three sides by -1. This will flip the inequality signs

We go from

6 < sqrt(46) < 7

to

-6 > -sqrt(46) > -7

It might help to order things from smallest to largest to get this

-7 < -sqrt(46) < -6

This means -sqrt(46) is between -7 and -6 on the number line

See the diagram below.

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: