Question

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

A: -30sqrt2x^5
B:-30x^2sqrt2x
C:-12x^2sqrt5x
D:-6sqrt50x^5

Answer 1

-30 sqrt50 x^5.

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`

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√(50x)`

`\implies 2\sqrt 5x^3(-3\sqrt10x^2)=-30x^2√(2x)`

Therefore, Option B is correct.