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Simplify the expression (√13-√6)(√13+√6).

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Final answer:

The expression (√13-√6)(√13+√6) is equivalent to 7. This is determined by using the mathematical principle of the difference of squares.

Step-by-step explanation:

The expression (√13-√6)(√13+√6) represents multiplication of two binomials that have conjugate pairs. In mathematics, this is an example of a difference of squares, which states (a - b)(a + b) = a^2 - b^2. The same principle will be used here.

Step 1: You square the first element present in the binomial, which is √13. Squaring √13 gives us 13.

Step 2: Of course, you will subtract the square of the second part of the binomial, √6. Squaring √6 gives us 6.

Hence, the simplified expression for (√13-√6)(√13+√6) is: 13 - 6 = 7.

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