How do you simplify the square root of 1/8??

Answer 1

To simplify the square root of 1/8, you can first express 1/8 as a fraction with a perfect square in the denominator. Since 8 is 2^3, we can rewrite 1/8 as (1/2)^3. Then, taking the square root of (1/2)^3, we get (1/2)^(3/2), which simplifies to 1/(2√2). Therefore, the square root of 1/8 simplifies to 1/(2√2).

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Answer 2

#sqrt2/4#

#sqrt(1/8)#
#=1/sqrt8#
#=1/(2sqrt2)#
#=1/(2sqrt2)xxsqrt2/sqrt2#
#=sqrt2/4#
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Answer 3

#sqrt2/4#

As per the question, we have

#sqrt(1/8)#
#= sqrt1/sqrt8#
#= 1/sqrt(4 * 2)#
#= 1/(2sqrt2)#

Now, we have done half the work, and now we have to rationalize the remaining number to get the most simplified result.

#:. 1/(2sqrt2) * (2sqrt2)/(2sqrt2)#
#= (2sqrt2)/(2sqrt2)^2#
#= (2sqrt2)/(4 * 2)#
#= (2sqrt2)/8#
#= (cancel2sqrt2)/(cancel2 * 4)#
#= sqrt2/4#

Hence, the answer

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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.

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.

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