Question

Find the simplified product: 2sqrt 5x^3(-3sqrt10x^2)

Answer 1

Answer:

 -30 sqrt50 x^5.

Step-by-step explanation:

2sqrt 5x^3(-3sqrt10x^2)

= 2 sqrt 5x^3* -3 sqrt10 x^2

=  -6 sqrt50 x^5

Answer 2

Answer: B) $30x^2\sqrt2x$

Step-by-step explanation:

Here the given expression,

$2\sqrt 5x^3(-3\sqrt10x^2)$

We can write,

$2\sqrt 5x^3(-3\sqrt10x^2)=(2x\sqrt 5x)(-3x\sqrt10)$

$\implies 2\sqrt 5x^3(-3\sqrt10x^2)=-6x^2\sqrt{50x}$

$\implies 2\sqrt 5x^3(-3\sqrt10x^2)=-30x^2\sqrt{2x}$

Therefore, Option B is correct.