Question

How do I simplify √1/4x^2?

Answer 1

is that
\[\sqrt{\frac1{4x^2}}\]?

Answer 2

\[\sqrt{\frac1{4x^2}}=\frac{\sqrt1}{\sqrt{4x^2}}=\frac{\sqrt1}{\sqrt{4}\sqrt{x^2}}= \dots\]

Answer 3

Oh so would the final answer be x/2 ?

Answer 4

almost,

Answer 5

SO you multiply 2x on both sides, giving us 2x? or do you have to do something with the √1?

Answer 6

don't multiply anything,

just simplify each square root term

Answer 7

√1/2x

Answer 8

yeah that's right,

and you can simplify √1

Answer 9

The only thing I don't understand is that the x does not have a specific place, so can we determine that it is the bottom or the top, and if so how?

Answer 10

oh, i interpreted your question wrong.

Answer 11

\[\sqrt{\frac14x^2}=\sqrt{\frac14}\sqrt{x^2}=\frac{\sqrt1}{\sqrt4}\sqrt{x^2}=\frac{1}{2}x=x/2\]

as you said originally

Answer 12

Ok, thank you SO much!

Answer 13

NB we have only computed the principal square roots