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Question Number 190038 by Shrinava last updated on 26/Mar/23

$$\mathrm{Find}:\frac{21+\sqrt{4\mathrm{a}-3}}{4\mathrm{a}+\sqrt{3-4\mathrm{a}}}$$

Answered by Rasheed.Sindhi last updated on 26/Mar/23

$$\mathrm{Find}:\frac{21+\sqrt{4\mathrm{a}-3}}{4\mathrm{a}+\sqrt{3-4\mathrm{a}}}$$$$Assumingthevalueisreal$$$$\Rightarrow$$$$4\mathrm{a}-3⩾0\wedge 3-4\mathrm{a}⩾0$$$$\mathrm{a}⩾\frac{3}{4}\wedge \mathrm{a}⩽\frac{3}{4}\Rightarrow \mathrm{a}=\frac{3}{4}$$$$\bullet \frac{21+\sqrt{4\mathrm{a}-3}}{4\mathrm{a}+\sqrt{3-4\mathrm{a}}}=\frac{21+0}{4\left(\frac{3}{4}\right)+0}=7$$

Commented by Shrinava last updated on 01/Apr/23

$$\mathrm{thank}\mathrm{you}\mathrm{professor}\mathrm{cool}$$

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