Question

calculate-(√3+1)(√3-1)(2-√3)(4+2√3)​

Answer 1

Step-by-step explanation:

Here are two methods on how to solve the given multiplication problem:

(1.) You could use the Column Method. This method is a good way to organize your work as you’re multiplying the two expressions. Be careful to keep like-radical terms (those that have the same index and the same radicand) in the same column as follows:

(√3 – 1)(√3 + 1) = √3 + 1

√3 – 1

√9 + √3 (partial product of √3 times √3 + 1)

–√3 – 1 (partial product of – 1 times √3 + 1)

√9 + 0 – 1 = 3 – 1

= 2 (product)

(2.) The Distributive Property can also be used to multiply the two given expressions as follows:

(√3 – 1)(√3 + 1) = √3(√3 – 1) + 1(√3 – 1)

= √3√3 – (1)√3 + (1)√3 + 1(–1)

= √9 + (– √3 + √3) + (–1)

= 3 + (0) + (– 1)

= 3 + (– 1)

= 2

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