Find the cube root of 216 × 729. Options: A . &nbsp 54 B . &nbsp 9 C . &nbsp 6 D . &nbsp 51

Answer: Option A : A 216 is the cube of 6 as 216 can be expressed as ( 6 × 6 × 6 ) 729 is the cube of 9 as 729 can be expressed as ( 9 × 9 × 9 ) 3 √ 6 × 6 × 6 × 3 √ 9 × 9 × 9 = 6 × 9 So the cube root of the product will be 6 × 9 = 54.

Find the cube root of 216 × 729.

Question

Find the cube root of 216 × 729.

Options:

A . 54

B . 9

C . 6

D . 51

Answer: Option A
:
A

216 is the cube of 6 as 216 can be expressed as $(6 \times 6 \times 6)$

729 is the cube of 9 as 729 can be expressed as $(9 \times 9 \times 9)$

$\sqrt[3]{6 \times 6 \times 6}$ $\times$ $\sqrt[3]{9 \times 9 \times 9}$
= $6 \times 9$
So the cube root of the product will be 6 × 9 = 54.

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