Question

which expression has a greatest value
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Answer 1

∛64 and 16$\frac{3}{2}$ expressions have the greatest value.

Step-by-step explanation:

What is the square root and cube root of a number?

• When you take the square root of a number, you get a number that, when squared, equals the preceding value.

• Similarly, a number's cube root yields a number that, when cubed, yields the preceding number.

• Here, ∛64$x^{2}$=∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

• 16$\frac{3}{2}$ = 4³ = 64

• ∛8$x^{2}$= ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

• √(16²) = √(16 × 16) = 16

• Therefore, ∛64² and 16$\frac{3}{2}$ have the greatest value.

The complete question is Which expression has the greatest value?

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