simplify: 7 root 3/ root 10 +root 3 +3 root 2/ root 15 +3 root 2
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Step-by-step explanation:
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Answer:
The given equation is :
\frac{7\sqrt{3}}{\sqrt{10}+\sqrt{3}}-\frac{2\sqrt{5}}{\sqrt{6}+\sqrt{5}}-\frac{3\sqrt{2}}{\sqrt{15}+3\sqrt{2}}10+373−6+525−15+3232
Rationalizing this equation, we get
=\frac{7\sqrt{3}(\sqrt{10}-\sqrt{3})}{10-3}-\frac{2\sqrt{5}(\sqrt{6}-\sqrt{5})}{6-5}-\frac{3\sqrt{2}(\sqrt{15}-3\sqrt{2})}{15-18}10−373(10−3)−6−525(6−5)−15−1832(15−32)
=\sqrt{3}(\sqrt{10}-\sqrt{3})-2\sqrt{5}(\sqrt{6}-\sqrt{5})+\sqrt{2}(\sqrt{15}-3\sqrt{2})3(10−3)−25(6−5)+2(15−32)
=\sqrt{30}-3-2\sqrt{30}+10+\sqrt{30}-630−3−230+10+30−6
=11
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