Question

by what number should be 17496 divided to obtain a perfect cube​

Answer 1

Answer:

take the Lcm of that number

pair them

(2*2)*2*(3*3)*(3*3)*(3*3)*3

the left over numbers are 3 and 2

so we have to divide the number with 6               [3*2]

Step-by-step explanation:

Answer 2

Answer:

Given and Find:

• By what number should 17496 be divided to obtain a perfect cube.

Calculations:

• The number should be divided by the number 3.

⇢ 17,496 ÷ 3

⇢ 5,832

We know that = 17,496 = 3^7 × 2^3

That's,

⇢ 3^7 = (3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187).

⇢ 2^3 = (2 × 2 × 2 = 8).

⇢ 3^7 × 2^3 = (2187 × 8)

⇢ 17,496

⇢ 3 × 3 × 2

⇢ 18