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Question Number 105289 by Anindita last updated on 27/Jul/20

(√(52))+(√3)−(√(4/6)) = ?

$$\sqrt{\mathrm{52}}+\sqrt{\mathrm{3}}−\sqrt{\frac{\mathrm{4}}{\mathrm{6}}}\:=\:? \\ $$

Answered by SUMIT007 last updated on 27/Jul/20

⇒ 2(√(13))+(√3)−(√(2/3)) ⇒ 2(√(13))+(√3)−((√6)/3) ⇒ ((6(√(13))+3(√3)−(√6))/3) ⇒ ((6×3.6+3×1.7−1.41×1.7)/3) ( (√6)=3.6 (√3)=1.7 (√2)=1.41) ⇒ 6×1.2+1.7−.47×1.7 ⇒ 7.2 + 1.7 − .8 ⇒ 8.1

$$\Rightarrow\:\mathrm{2}\sqrt{\mathrm{13}}+\sqrt{\mathrm{3}}−\sqrt{\frac{\mathrm{2}}{\mathrm{3}}} \\ $$$$\Rightarrow\:\mathrm{2}\sqrt{\mathrm{13}}+\sqrt{\mathrm{3}}−\frac{\sqrt{\mathrm{6}}}{\mathrm{3}} \\ $$$$\Rightarrow\:\frac{\mathrm{6}\sqrt{\mathrm{13}}+\mathrm{3}\sqrt{\mathrm{3}}−\sqrt{\mathrm{6}}}{\mathrm{3}} \\ $$$$\Rightarrow\:\frac{\mathrm{6}×\mathrm{3}.\mathrm{6}+\mathrm{3}×\mathrm{1}.\mathrm{7}−\mathrm{1}.\mathrm{41}×\mathrm{1}.\mathrm{7}}{\mathrm{3}}\: \\ $$$$\:\:\:\:\:\left(\:\sqrt{\mathrm{6}}=\mathrm{3}.\mathrm{6}\:\:\sqrt{\mathrm{3}}=\mathrm{1}.\mathrm{7}\:\:\sqrt{\mathrm{2}}=\mathrm{1}.\mathrm{41}\right) \\ $$$$\Rightarrow\:\mathrm{6}×\mathrm{1}.\mathrm{2}+\mathrm{1}.\mathrm{7}−.\mathrm{47}×\mathrm{1}.\mathrm{7} \\ $$$$\Rightarrow\:\mathrm{7}.\mathrm{2}\:+\:\mathrm{1}.\mathrm{7}\:−\:.\mathrm{8} \\ $$$$\Rightarrow\:\mathrm{8}.\mathrm{1} \\ $$

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