How do you simplify #sqrt(2) / sqrt(8)#?

Answer 1

Eva Abramson

#sqrt(2)/sqrt(8)=1/2#

Using the property that #sqrt(a)/sqrt(b) = sqrt(a/b)# for #b > 0# we have

#sqrt(2)/sqrt(8) = sqrt(2/8) = sqrt(1/4) = sqrt(1)/sqrt(4) = 1/2#

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Answer 2

Genesis Allen

To simplify sqrt(2) / sqrt(8), we can rationalize the denominator by multiplying both the numerator and denominator by sqrt(8). This gives us sqrt(2) * sqrt(8) / sqrt(8) * sqrt(8). Simplifying further, we have sqrt(16) / 8. Since sqrt(16) is equal to 4, the simplified form is 4/8. This can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. Therefore, the final simplified form is 1/2.

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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.