Question

rayionlaisze the following

1÷5√3-4√3​

Answer 1

$\frac{1}{(5\sqrt{3} - 4\sqrt{3})}\\= \frac{1}{(5-4)\sqrt{3}}\\= \frac{1}{\sqrt{3}}\\= \frac{\sqrt{3}}{\sqrt{3}\times \sqrt{3}}\\= \frac{\sqrt{3}}{3}$

Therefore.,

$\red{\frac{1}{(5\sqrt{3} - 4\sqrt{3})}}\green{= \frac{\sqrt{3}}{3}}$

•••♪

Answer 2

Answer:

the answer to this question is

$\sqrt{3} \div 3$

Step-by-step explanation:

$1 \div 5 \sqrt{3} - 4 \sqrt{3} \\ = 1 \times 5 \sqrt{3} + 4 \sqrt{3} \div 5 \sqrt{3} - 4 \sqrt{3} \times 5 \sqrt{3} + 4 \sqrt{3} \\ = 5 \sqrt{3} + 4 \sqrt{3} \div (5 \sqrt{3} ) ^{2} - (4 \sqrt{3} ) ^{2} \\ = 5 \sqrt{3} + 4 \sqrt{3} \div 75 - 48 \\ = \sqrt{3} (5 + 4) \div 27 \\ = \sqrt{3} \times 9 \div 27 \\ = \sqrt{3} \div 3$