simplify the square root of ( 18x^2 divided by 50)

thank you

I tried doing like 9x2x^2 divided by 25 x2...then i got stuck

thank you so much...my mom and dad can't help me with this kind of stuff

2 answers

18 = 9*2 = 3^2 *2
50 = 25*2 = 5^2*2
so
18/50 = 3^2/5^2

so we have (3/5) sqrt(x^2)
which is (3/5) x
or
3x/5
Sqrt(18x^2/50) = Sqrt(9*2x^2/(25*2) = 3x/5*Sqrt(2/2)= 3x/5.
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