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

Question

asked Sep 21, 2020 152k views

2 Answers

Akash Mishra · Answer 1 · 2020-09-25T01:24:36+0000

Answer:

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