How do you simplify # sqrt (0.5)#?

Answer 1

#sqrt2/2#

The difficult part here is dealing with a decimal inside the root sign. So let's change that to a fraction and see if it's easier to deal with:

#sqrt.5=sqrt(1/2)#

This is good - there is now no decimal inside the root. But now we have to deal with a root in the denominator of our fraction. So let's get rid of it through a creative use of multiplying by 1:

#sqrt(1/2)=sqrt1/sqrt2=(1/sqrt2)(1)=(1/sqrt2)(sqrt2/sqrt2)=sqrt2/2#
Sign up to view the whole answer

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

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7