Question

Simplify the radical expression sqrt 150x^3k^4

Answer 1

= 5xk^2 sqrt 6x

hope it helps

Answer 2

Answer:

$5xk^2\sqrt{6x}$

Step-by-step explanation:

The given expression is $\sqrt{150x^3.k^4}$

Here we have to simplify the terms.

Let's take $\sqrt{150}$, this can be written as $\sqrt{25*6}$

$\sqrt{25} = 5$

$\sqrt{25*6} = 5\sqrt{6}$

Let's simplify $\sqrt{x^3} = \sqrt{x^2} \sqrt{x} = x.\sqrt{x}$

$\sqrt{k^4} = k^{2}$

Now let's put together.

$\sqrt{150.x^3.k^4}  = 5\sqrt{6} . x\sqrt{x} .k^{2}$

$= 5xk^2\sqrt{6x}$