Question

Divide and simplify if possible.
square root 250 x^16 over square root 2x

Answer 1

Break down 250 = 2*5*5*5 so you can simplify it

Answer 2

sqrt 250 / sqrt 2 = sqrt 250/2 = sqrt 125 = sqrt 25*5 = sqrt 25 * sqrt 5= 5* sqrt 5= 5 sqrt 5

Answer 3

actually do this first\[\Large \frac{ \sqrt{ 250x^{16}} }{ \sqrt{2x} } =\sqrt{\frac{ 250x^{16} }{ 2x } }\]

Answer 4

sqrt 250 * sqrt 2 and sqrt x^16 / sqrt x ? divide that

Answer 5

\[\Large 5 \sqrt5*\sqrt{\frac{ x^{16} }{ x } }\]

Answer 6

not multiplication I meant to put a / lol

Answer 7

$$\Huge (ab)^m=a^mb^m$$ $$\Huge ({\frac{a}{b}})^m=\frac{a^m}{b^m}$$

Answer 8

nvm -.-

Answer 9

\[\Large 5 \sqrt5*\sqrt{x^{15} } = 5 \sqrt5*\sqrt{x^{14}*x }\]

Answer 10

we don't know if x>0. If we know that x>0, then we can safely simplify by doing things like x2−−√=x but consider what happens if x<0 ..

Answer 11

You have to put abs. value signs.

Answer 12

x=0 would also not be a possible value in the original problem, since there's an x in the denominator.

Answer 13

-.- This is aggravating.. so I have to solve the equation you just put?

Answer 14

Just simplify this\[\Large 5 \sqrt5*\sqrt{x^{14}}*\sqrt x \]

Answer 15

is that a new question...?

Answer 16

so typo so I got 5 x^7 sqrt(5x)

Answer 17

Yeah, but you should put abs value signs on x^7

Answer 18

What do you mean?

Answer 19

\[\Large 5 \left| x^7 \right| \sqrt{5x}\]