18 / √(√11 - √2) = 18√(√11 + √2) / √(√11 - √2)√(√11 + √2) = 18√(√11 + √2) / √(√11² - √2²) = 18√(√11 + √2) / √9 = 18√(√11 + √2) / 3 = 6√(√11 + √2)
----
√(6 + 4√2) = √(4 + 2*2*√2 + 2) = √(2 + √2)² = 2 + √2
2 / (√2 - √(6 + 4√2)) = 2 / (√2 - 2 - √2) = 2/ -2 = -1
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
18 / √(√11 - √2) = 18√(√11 + √2) / √(√11 - √2)√(√11 + √2) = 18√(√11 + √2) / √(√11² - √2²) = 18√(√11 + √2) / √9 = 18√(√11 + √2) / 3 = 6√(√11 + √2)
----
√(6 + 4√2) = √(4 + 2*2*√2 + 2) = √(2 + √2)² = 2 + √2
2 / (√2 - √(6 + 4√2)) = 2 / (√2 - 2 - √2) = 2/ -2 = -1