[tex] \sqrt{54-14 \sqrt{5} } *( \sqrt{5}+7) [/tex]Вычеслите. Created by arn007. algebra-ru

tex]Вычеслите...

arn007 @arn007

October 2021 1 7 Report

[tex] \sqrt{54-14 \sqrt{5} } *( \sqrt{5}+7) [/tex]
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inblu

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$\sqrt{54-14 \sqrt{5}}*( \sqrt{5}+7)= \sqrt{(54-14\sqrt{5})*( \sqrt{5}+7)^{2}}= \\ = \sqrt{(54-14\sqrt{5})*(5+14 \sqrt{5}+49)}=\sqrt{(54-14\sqrt{5})*(54+14 \sqrt{5})}= \\= \sqrt{54^{2}-(14 \sqrt{5})^{2}}= \sqrt{1936}=44$

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texesli y ne raven 7

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