Home > Algebra > Multiplication and Division of Radicals

How do you simplify # sqrt(3x) * sqrt3#?

Answer 1

Abigail Allen

#3*sqrtx#

Note that radicals can be split up as follows:

#sqrt(ab)=sqrta*sqrtb#

So,

#sqrt(3x)=sqrt3*sqrtx#

This gives us a simplified expression of

#=sqrt3*sqrtx * sqrt3#

Now, simplify the two #sqrt3# terms using the rule:

#sqrta*sqrta=a#

So, #sqrt3*sqrt3=3# and the expression equals

#=3*sqrtx#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To simplify the expression sqrt(3x) * sqrt(3), you can multiply the numbers inside the square roots together. This gives you sqrt(3x * 3), which simplifies to sqrt(9x). Therefore, the simplified expression is sqrt(9x).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.