Jana is ordering a list of numbers from least to greatest.

StartRoot 7 squared EndRoot, StartRoot 7 EndRoot, Four-fifths, StartRoot 0.8 EndRoot, (StartRoot 5 EndRoot) Squared

Which statement can be used to create her list?

A: StartRoot 0.8 EndRoot is less than Four-fifths because 0.8 = four-fifths and the square root of a number less than 1 is less than the number itself.

B: StartRoot 7 EndRoot is greater than StartRoot 7 squared EndRoot because StartRoot 7 squared EndRoot = 7 and the square root of a number greater than 1 is greater than the number itself.

C: (StartRoot 5 EndRoot) squaredis less than StartRoot 7 EndRoot because (StartRoot 5 EndRoot) squared = 5 and StartRoot 7 EndRoot is between 6 and 8.

D: StartRoot 7 EndRoot is greater than Four-fifths because Four-fifths is less than 1 and the square root of a number greater than 1 is greater than 1.

Question

Mathematics

Schmitt

4 May, 15:42

Jana is ordering a list of numbers from least to greatest.

StartRoot 7 squared EndRoot, StartRoot 7 EndRoot, Four-fifths, StartRoot 0.8 EndRoot, (StartRoot 5 EndRoot) Squared

Which statement can be used to create her list?

A: StartRoot 0.8 EndRoot is less than Four-fifths because 0.8 = four-fifths and the square root of a number less than 1 is less than the number itself.

B: StartRoot 7 EndRoot is greater than StartRoot 7 squared EndRoot because StartRoot 7 squared EndRoot = 7 and the square root of a number greater than 1 is greater than the number itself.

C: (StartRoot 5 EndRoot) squaredis less than StartRoot 7 EndRoot because (StartRoot 5 EndRoot) squared = 5 and StartRoot 7 EndRoot is between 6 and 8.

D: StartRoot 7 EndRoot is greater than Four-fifths because Four-fifths is less than 1 and the square root of a number greater than 1 is greater than 1.

+4

Answers (2)

Know the Answer?

Isabela Bruce · Answer 1

The correct option is D

Step-by-step explanation:

The given numbers are

√ (7²), √7, 4/5, √0.8, (√5) ²

Now, let us check their real values.

√ (7²) = 7

√7 ≈ 2.646

4/5 = 0.8

√0.8 ≈ 0.894

(√5) ² = 5

Now, checking the options,

A doesn't apply

B doesn't appy

C doesn't apply

D applies because √7 = 2.646 is greater than 4/5 = 0.8 because 4/5 is less than 1 and the square root of a number greater than 1 is greater than 1.