Question

3:

Which value(s) is (are) considered irrational?

Select ALL that apply.

(1 point)
Responses

25−−√

square root of 25

36−−√

square root of 36

54−−√

square root of 54

81−−√

square root of 81

120−−−√

square root of 120

27−−√3

cube root of 27

51−−√3

cube root of 51
Question 4
Question 4:

If x3=216
, which value(s) represent(s)s x
?

Select ALL that apply.

(1 point)
Responses

216−−−√3

cube root of 216

216−−−√

square root of 216

6

6

72

72

648

648
Question 5
Question 5:

A cube has a side length of 7
cm. What is the volume of the cube?

(1 point)
Responses

490 cm3

490 cm3


343 cm3

343 cm3


210 cm3

210 cm3


49 cm3

49 cm3

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Answer 1

Question 3 — Irrational: √54, √120, ∛51.

Explanation: √25, √36, √81, and ∛27 are integers/rational; √54 = 3√6 and √120 = 2√30 are irrational; ∛51 is not a perfect cube so is irrational.

Question 4 — Solutions of x^3 = 216: ∛216 and 6.

(∛216 = 6; the other options are not cube roots of 216.)

Question 5 — Volume = 7^3 = 343 cm^3.