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How do you simplify # sqrt (27x^2) /sqrt3 #?

Answer 1

Avery Alexander

#(sqrt(27x^2))/(sqrt3)=3x#

#(sqrt(27x^2))/(sqrt3)=?#

#(sqrt(27x^2))/(sqrt3)=(sqrt(3*3^2x^2))/(sqrt3)#

#(sqrt(27x^2))/(sqrt3)=(3x cancel(sqrt3))/(cancel (sqrt3))#

#(sqrt(27x^2))/(sqrt3)=3x#

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Answer 2

Jameson Allen

To simplify the expression sqrt(27x^2)/sqrt(3), we can combine the square roots by dividing the numbers inside the square roots.

sqrt(27x^2)/sqrt(3) simplifies to sqrt((27x^2)/(3)).

Since 27 divided by 3 is 9, and x^2 divided by 1 is x^2, the expression simplifies further to sqrt(9x^2).

Taking the square root of 9 gives us 3, so the final simplified expression is 3x.

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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.