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Question Number 62130 by smartsmith459@gmail.com last updated on 15/Jun/19

(√(α^2 −β^2 ))  simplify

$$\sqrt{\alpha^{\mathrm{2}} −\beta^{\mathrm{2}} } \\ $$$${simplify}\: \\ $$$$ \\ $$

Answered by MJS last updated on 15/Jun/19

(√(α^2 −β^2 ))=(√((α−β)(α+β)))  no further simplification possible

$$\sqrt{\alpha^{\mathrm{2}} −\beta^{\mathrm{2}} }=\sqrt{\left(\alpha−\beta\right)\left(\alpha+\beta\right)} \\ $$$$\mathrm{no}\:\mathrm{further}\:\mathrm{simplification}\:\mathrm{possible} \\ $$

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