the qoutient rule of radicals

mohamed al sayes shared this question 10 years ago
Answered

hi

Is the domain of sqrt(f/g) = the domain of sqrt(f)/sqrt(g)

while sqrt(a/b)=sqrt(a)/sqrt(b)

asking this question because of the limit of sqrt(x^2-1)/sqrt(x-1) when x goes to 1 =sqrt(2)

while in the 2nd case does not exists,

as teachers how can we convince our students not to apply the cautient rule of radicals when they taking the limits.

Comments (3)

photo
1

hello

when i read f(x)=g(x) i think the writer meant f(x)=g(x) for x in domain(f) intersected domain(g)


so log(a*b)=log(a)+log(b)


saludos

photo
1

hello

of course when a*b>0


most of the rules are true in the positive numbers only

saludos

photo
1

Thank you ,

© 2023 International GeoGebra Institute