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26.06.2019 •
Mathematics
Of course, you don't know what the dropdowns are, so, i'll tell you. 4 < 5 < 9, so √5 is between (3, 4, the square root of 3, the square root of 4) and (6, 9, the square root of 6, the square root of 9). this means that √5 is between (4 and 9, 2 and 3, 4 and 6, square root of 2 and square root of 3). so, √65 is between (6 x 2, 6 x 3, 6 x 4) and (6 x 3, 6 x 6, 6 x 9). you and me!
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Ответ:
Part A
4 < 5 < 9 is given to us. Apply the square root to each term to end up with this inequality: sqrt(4) < sqrt(5) < sqrt(9)
So sqrt(5) is between sqrt(4) and sqrt(9)
Part B
Simplify those two mentioned square roots
sqrt(4) = sqrt(2^2) = 2
sqrt(9) = sqrt(3^2) = 3
Therefore, sqrt(5) is also between 2 and 3
We can see this through using a calculator: sqrt(5) = 2.23607 approximately
Part C
We can now say:
2 < sqrt(5) < 3
Multiply all three sides by 6
6*2 < 6*sqrt(5) < 6*3
So the expression 6*sqrt(5) is between 6 x 2 and 6 x 3
Sure enough, a calculator confirms this
6*sqrt(5) = 13.416408
since 6*2 = 12 and 6*3 = 18. We see that 13.416 is between 12 and 18.
Ответ: