Question

evaluate : cube root of 3375×(-729)

Answer 1

as cube root of 3375 = 15

cube root of -729 = -9

your answer will be 15 * -9 = -135

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Answer 2

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

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

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,

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

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