Which is equivalent to sqrt 50x^3 after it has been simplified completely?

Question

asked Nov 4, 2020 53.3k views

2 Answers

Pingui · Answer 1 · 2020-11-09T05:26:40+0000

For this case we have the following expression:

$\sqrt {50x ^ 3}$

We can write it as:

$\sqrt {25 * 2 * x * x * x}\\\sqrt {25 * 2 * x ^ 2 * x}$

We know that:

$\sqrt {25} = 5$

By power properties we have:

$\sqrt {x ^ 2} = x ^ {\frac {2} {2}} = x ^ 1 = x$

So simplifying we have:

$5x \sqrt {2x}$

Answer:

$5x \sqrt {2x}$