Question

Can someone explain Simplifying Square Roots with Variables??? I really don't get it.... :/

Answer 1

Certainly. Do you have an example or two you'd like to look at?

Answer 2

\[3\sqrt{45x}\] Thanks. :)

Answer 3

Ok, well the trick here is to factor the part under the radical. Then pull out any squares.

Answer 4

any question given to help with ?

Answer 5

So to factor 45x we get?

Answer 6

kkk miming

Answer 7

5*9*x right?

Answer 8

Correct. And \(9 = 3^2\)

Answer 9

oh, right...

Answer 10

So we can take the square root of that factor and bring it outside as a multiple

Answer 11

insert x in the square root in each one of the expression sorry i forgot to put x

Answer 12

\[3\sqrt{45x}\]\[=3\cdot \sqrt{5\cdot 9 \cdot x}\]\[= 3\cdot \sqrt{5 \cdot 3^2 \cdot x}\]\[=3\cdot 3 \cdot \sqrt{5\cdot x}\]\[=9 \sqrt{5x}\]

Answer 13

\[3\sqrt{9*5*x}\]
\[3*3\sqrt{5x}\]
\[9\sqrt{5x}\]

Answer 14

oh, okay... I get it.

Answer 15

MIMING 97 have u got it now
JUST REMEMBER :::::::::::
\[\sqrt{ab}=\sqrt{a} * \sqrt{b} \]

Answer 16

YES, THANKS.