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30÷5 root of 3 - 3 root of 5 ................. pls reply me fast....

\frac{30}{5 \sqrt{3} - 3 \sqrt{5}} = \frac{30}{5 \sqrt{3} - 3 \sqrt{5}} \times \frac{5 \sqrt{3} + 3 \sqrt{5}}{5 \sqrt{3} + 3 \sqrt{5}} = \frac{30 (5 \sqrt{3} + 3 \sqrt{5})}{(5 \sqrt{3} - 3 \sqrt{5}) (5 \sqrt{3} + 3 \sqrt{5})} = \frac{150 \sqrt{3} + 90 \sqrt{5}}{{(5 \sqrt{3})}^{2} - {(3 \sqrt{5})}^{2}} = \frac{150 \sqrt{3} + 90 \sqrt{5}}{75 - 45} = \frac{150 \sqrt{3} + 90 \sqrt{5}}{30} = \frac{30 (5 \sqrt{3} + 3 \sqrt{5})}{30} = 5 \sqrt{3} + 3 \sqrt{5}

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