tex]...

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June 2021 1 23 Report

[tex] \frac{ \sqrt{125} - \sqrt{8} }{7+ \sqrt{10} } [/tex]

Answers & Comments

m11m √125 - √8 = √(25*5) - √(4*2) = 5√5 - 2√2 = (5√5 - 2√2)(7 - √10) =
7+√10 7+√10 7+√10 (7+√10)(7-√10)

=35√5 - 14√2 - 5√50 + 2√20 = 35√5 - 14√2 - 5√(25*2) + 2√(4*5) =
7² - (√10)² 49-10
=35√5 - 14√2 - 25√2 +4√5 = 39√5 - 39√2 = 39(√5 - √2) =√5 - √2
39 39 39

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