Question

Which expression equals 9^3 sqrt 10

A. 5 sqrt 10 + 4 sqrt 10
B. 5^3 sqrt 10 + 4 ^3 sqrt 10
C. 5 sqrt 10 + 4^3 sqrt 10
D. 5^3 sqrt 10 + 4 sqrt 10

Answer 1

its B on edge

Explanation:

Answer 2

Option B is correct.

`5\sqrt[3]{10} + 4\sqrt[3]{10}`

Explanation:

Given the equation:
`9\sqrt[3]{10}`

We can write 9 as:

9 = 5+ 4

then;

`(5+4)\sqrt[3]{10}`

Using distributive property:

`a\cdot(b+c)= a\cdot b+ a\cdot c`

Apply distributive property:

`5\sqrt[3]{10} + 4\sqrt[3]{10}`

Therefore, the expression which is equivalent to
`9\sqrt[3]{10}` is
`5\sqrt[3]{10} + 4\sqrt[3]{10}`