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How do you simplify #12/(sqrt(8)-sqrt(2))#?

Answer 1

Eva Adamson

#12/(sqrt8-sqrt2)=12/(sqrt(2^2xx2)-sqrt2)=12/(2sqrt2-sqrt2)=12/(sqrt2)# #12/sqrt2=(12sqrt2)/(sqrt2)^2=6sqrt2#

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Answer 2

Savannah Anderson

To simplify the expression 12/(sqrt(8)-sqrt(2)), we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is sqrt(8) + sqrt(2).

By applying the distributive property, we get: 12(sqrt(8) + sqrt(2)) / ((sqrt(8) - sqrt(2))(sqrt(8) + sqrt(2)))

Simplifying further, we have: 12(sqrt(8) + sqrt(2)) / (8 - 2)

This simplifies to: 12(sqrt(8) + sqrt(2)) / 6

Finally, we can simplify the expression by dividing both the numerator and denominator by 6: 2(sqrt(8) + sqrt(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.