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Mkey [24]
3 years ago
11

What is the simplest form of the radical expression ���2 ���5/���2-���5 ??

Mathematics
1 answer:
Luden [163]3 years ago
4 0
<span>(√2 + √5) / (√2 - √5) =
(√2 + √5) * (√2 - √5) / (√2 - √5) * (√2 - √5) =
(√2² - √5²) / (√2 - √5)² =
(2 - 5) / (√2² - 2√10+ √5²) =
-3 / (2 - 2√10 + 5) =
-3 / (7 - 2√10)

or

(√2 + √5) / (√2 - √5) =
(√2 + √5) * (√2 + √5) / (√2 - √5) * (√2 + √5) =
(√2 + √5)² / (√2² - √5²) =
(√2² + 2√10+ √5²) / (2 - 5) =
(2 + 2√10 + 5) / -3 =
- (7 + 2√10) / 3 </span>
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