Let A=(√(2) +√(3) )(√(4) +√(5) )...(√(2020) +√(2021) )\\B=(√(2021) -√(2020) )(√(2019) -√(2018) )...(√(3) -√(2) ) what is A times B?

asked Aug 7, 2023 19.1k views

3 votes

Let

$A=(√(2) +√(3) )(√(4) +√(5) )...(√(2020) +√(2021) )\\B=(√(2021) -√(2020) )(√(2019) -√(2018) )...(√(3) -√(2) )$
what is A times B?

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5 votes

Answer:

Explanation:

( √(3 ) - √(2) )( √(3) + √(2) )( √(5 ) - √(4) )( √(5) + √(4) )....

using difference of two squares

we can rewrite the A) to 1×1×1×1.... so the answer would be 1

Greepow answered Aug 11, 2023

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