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Question: Rationalize the denominators and simplify

Question: Rationalize the denominators and simplify-example-1

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Answer:

To write a quotient without a radical in the denominator:

Step 1: We identify the denominator.

Step 2: We determine the conjugate of the denominator.

Step 3: Multiply the numerator and denominator by the conjugate of the denominator.

we multiply numerator and denominator by (7+√3)

(7+√3)(7+√3)/(7-√3)(7+√3)=(if you know the remarkable identities=(a+b²/a²-b²)

(49+14√3+3)/49-3=

14√3+52/46 = (26+7√3)/23

→(7+√3)/(7-√3)= (26+7√3)/23

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