найдите значение выражения. Created by sashkaveber. algebra-ru

найдите значение выражения...

sashkaveber @sashkaveber

July 2022 1 5 Report

найдите значение выражения

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$\displaystyle \sqrt{41^2-40^2}=\sqrt{(41-40)*(41+40)}=\sqrt{1*81}=9$

$\displaystyle \sqrt{145^2-144^2}=\sqrt{(145-144)(145-144)}=\sqrt{1*289}=17$

$\displaystyle \sqrt{8.5^5-7.5^2}=\sqrt{(8.5-7.5)*(8.5+7.5)}=\sqrt{1*16}=4$

$\displaystyle \sqrt{21.8^2-18.2^2}=\sqrt{(21.8-18.2)(21.8+18.2)}=\sqrt{3.6*40}=\sqrt{144}=12$

$\displaystyle \sqrt{\frac{155^2-134^2}{84}}=\sqrt{\frac{(155-134)(155+134)}{84}}=\sqrt{\frac{21*289}{84}} =\sqrt{289/4}=\\\\=17/2=8.5$

$\displaystyle \sqrt{\frac{139^2-86^2}{98.5^2-45.5^2}}=\sqrt{\frac{(139-86)(139+86)}{(98.5-45.5)(98.5+45.5)}}=\\\\=\sqrt{\frac{53*225}{53*144}}=\frac{15}{12} =1.25$

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Verified answer

uprosti vyrazhenie x802 esli x80gt0

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