2√33+10
3√2−15
3√2+15
2√33−10
Correct answer is A
2sin30+5tan60sin60
sin30=12;tan60=√3;sin60=√32
∴\)
= \frac{1 + 5\sqrt{3}}{\frac{\sqrt{3}}{2}}
= \frac{2(1 + 5\sqrt{3})}{\sqrt{3}}
= \frac{2 + 10\sqrt{3}}{\sqrt{3}}
Rationalizing, we get
= \frac{2\sqrt{3} + 30}{3}
= \frac{2}{3} \sqrt{3} + 10
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