Question

(ii)
3/3375x(-729).. please solve it with full process.. those who will give me answer with full process.. I'll mark it with the brainliest answer.. ​

Answer 1

Answer:

Answer:

Cube root of 3375 × ( -729 ) is -135

Step-by-step explanation:

Given Number is 3375 × ( -729 )

We have to find cube root of given expression

\sqrt[3]{3375\times(-729)}=\sqrt[3]{3375}\times\sqrt[3]{-729}

3

3375×(−729)

=

3

3375

×

3

−729

Now, We find cube root of individual by prime factorization method

3375 = 3 × 5 × 3 × 5 × 3 × 5

⇒ ∛3375 = 3 × 5 = 15

-729 = 3 × 3 × 3 × 3 × 3 × 3 × -1

⇒ ∛729 = -1 × 3 × 3 = -9

Now,

\sqrt[3]{3375\times(-729)}=\sqrt[3]{3375}\times\sqrt[3]{-729}=15\times(-9)=-135

3

3375×(−729)

=

3

3375

×

3

−729

=15×(−9)=−135

Therefore, Cube root of 3375 × ( -729 ) is -135