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How do you simplify #5/(8+sqrt7)#?

Answer 1

Ethan Adkins

#1/57(40-5sqrt7)#

#5/(8+sqrt7) = (5(8-sqrt7))/((8+sqrt7)(8-sqrt7))=(40-5sqrt7)/(64-7)=1/57(40-5sqrt7)#[Ans]

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Answer 2

Julia Adams

To simplify the expression 5/(8+√7), we need to rationalize the denominator. Multiply both the numerator and denominator by the conjugate of the denominator, which is 8-√7. Simplify the expression by multiplying and combining like terms. The simplified form of 5/(8+√7) is (40-5√7)/57.

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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.