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.
Learn more about Simplifying Expressions