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What is the conjugate of √3 - √17?

a) √3 - √17
b) √3 + √17
c) 3 - √17
d) 3 + √17

1 Answer

2 votes

Final answer:

The conjugate of √3 - √17 is √3 + √17, which is typically used to rationalize denominators or simplify expressions in algebra. So, the correct answer is B.

Step-by-step explanation:

The question asks for the conjugate of a complex number, specifically √3 - √17. In mathematics, the conjugate of a complex number is obtained by changing the sign of the imaginary component. However, since √3 and √17 are both real numbers, in this context we're looking at a binomial with two square roots.

The conjugate of the expression √3 - √17 is √3 + √17.

This operation is used to rationalize denominators or simplify certain expressions in algebra.

algebra. So, the correct answer is B. √3 + √17.

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