Question Number 128589 by mnjuly1970 last updated on 08/Jan/21
$$\:\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:{calculus}… \\ $$$$\:\:\:\:\:{a}\in\mathbb{R}^{+} \:\: \\ $$$$\left.\:\:\:\:\:\:\:\:\:\:\:\&\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\right\}\Rightarrow\:\sqrt{{a}−\sqrt{{a}}\:}\:=? \\ $$$$\:\:\:\:\:{a}^{\mathrm{2}} −\mathrm{17}{a}=\mathrm{16}\sqrt{{a}}\: \\ $$$$\:\:\:\:\:\:\: \\ $$
Answered by snipers237 last updated on 08/Jan/21
$$\left({a}−\sqrt{{a}}\right)\left({a}+\sqrt{{a}}\right)=\mathrm{16}\left({a}+\sqrt{{a}}\right)\Rightarrow\sqrt{{a}−\sqrt{{a}}}\:\:\in\left\{\mathrm{0},\mathrm{4}\right\} \\ $$