Answer:
[tex] = \frac{(4 + \sqrt{5} ) {}^{2} }{( {4)}^{2} - ( \sqrt{5} ) {}^{2} } \\ \\ = \frac{ {(4)}^{2} + ( \sqrt{5}) {}^{2} + 2 \times 4 \times \sqrt{5} }{16 - 5} \\ \\ = \frac{16 + 5 + 8 \sqrt{5} }{11} \\ \\ = \frac{21 + 8 \sqrt{5} }{11} [/tex]
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
[tex] = \frac{(4 + \sqrt{5} ) {}^{2} }{( {4)}^{2} - ( \sqrt{5} ) {}^{2} } \\ \\ = \frac{ {(4)}^{2} + ( \sqrt{5}) {}^{2} + 2 \times 4 \times \sqrt{5} }{16 - 5} \\ \\ = \frac{16 + 5 + 8 \sqrt{5} }{11} \\ \\ = \frac{21 + 8 \sqrt{5} }{11} [/tex]
Answer:
[tex] = \frac{(4 + \sqrt{5} ) {}^{2} }{( {4)}^{2} - ( \sqrt{5} ) {}^{2} } \\ \\ = \frac{ {(4)}^{2} + ( \sqrt{5}) {}^{2} + 2 \times 4 \times \sqrt{5} }{16 - 5} \\ \\ = \frac{16 + 5 + 8 \sqrt{5} }{11} \\ \\ = \frac{21 + 8 \sqrt{5} }{11} [/tex]