What is ${(\sqrt{5} - 1)}^{2}$ $(sqrt(5)-1)^2$ ?

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What is ${(\sqrt{5} - 1)}^{2}$ $(sqrt(5)-1)^2$ ?

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Answer 1 · 2018-04-06T04:38:03

${(\sqrt{5} - 1)}^{2} = 6 - 2 \sqrt{5}$ $(sqrt(5)-1)^2=6-2sqrt(5)$

Explanation:

${(\sqrt{5} - 1)}^{2}$ $(sqrt(5)-1)^2$
$= (\sqrt{5} - 1) (\sqrt{5} - 1)$ $=(sqrt(5)-1)(sqrt(5)-1)$
$= \sqrt{25} - \sqrt{5} - \sqrt{5} + 1$ $=sqrt(25)-sqrt(5)-sqrt(5)+1$
$= 5 - 2 \sqrt{5} + 1$ $=5-2sqrt(5)+1$
$= 6 - 2 \sqrt{5}$ $=6-2sqrt(5)$

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