Question

Rationalise the denominator
1 / 3 root 5 +2 root 2​

Answer 1

Answer:

$\frac{3 \sqrt{5} - 2 \sqrt{2} }{37}$

Step-by-step explanation:

$\frac{1}{3 \sqrt{5} + 2 \sqrt{2} } \times \frac{3 \sqrt{5} - 2 \sqrt{2} }{3 \sqrt{5} - 2 \sqrt{2} } \\ = ) \frac{3 \sqrt{5} - 2 \sqrt{2} }{(3 \sqrt{5})^{2} - (2 \sqrt{2} )^{2} } \\ = ) \frac{3 \sqrt{5} - 2 \sqrt{2} }{(9 \times 5) - (4 \times 2) } \\ = ) \frac{3 \sqrt{5} - 2 \sqrt{2} }{45 - 8} \\ = ) \frac{3 \sqrt{5} - 2 \sqrt{2} }{37}$

Hope it Helped