Question

Find the cube root of : (-216) x 729 x 25 x 5000

Answer 1

Answer:

2

Step-by-step explanation:

6×9×5×10

that is equal to 2700

Answer 2

Answer:

Let us first find the cube root of 729 .

⇒729=3×(243)⇒729=3×3×(81)⇒729=3×3×3×(27)⇒729=3×3×3×3×(9)⇒729=3×3×3×3×3×3

We cannot factorise this more , it can also be written as :

⇒729=(3×3)×(3×3)×(3×3).

⇒729=9×9×9

Hence, we can clearly see that when we multiply 9 by itself three times we will get 729.

Therefore, the cube root of 729, 729−−−√3=9.

2. Now we will find the cube root of 216.

⇒216=2×(108)⇒216=2×2×(54)⇒216=2×2×2×(27)

⇒216=2×2×2×3×(9)⇒216=2×2×2×3×3×3

We cannot factorise this more , hence

We can also write this as :

⇒216=(2×3)×(2×3)×(2×3)⇒216=6×6×6

Here we can clearly see that , when we multiply 6 by itself three times ,we will get 216

Therefore , cube root of 216

, 216−−−√3=6.

So now we will multiply the cube roots of both 729 and 216 ,

⇒729×216 −−−−−−−−−√3=(9)3×(6)3−−−−−−−−−√3⇒729×216 −−−−−−−−−√3=9×6⇒729×216 −−−−−−−−−√3=54

Hence, the cube root of 729 × 216 is 54.

Step-by-step explanation:

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