root5-root2/root5+root2
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Answer: (7 - 2√10) / 3
Step-by-step explanation:
√5 - √2
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√5 + √2
=> multiply it by √5 - √2 / √5 - √2 in order to rationalize
=> √5 - √2 / √5 + √2 * √5 - √2 / √5 - √2
=> (√5 - √2)² / √5² - √2²
=> [√5² + √2² - 2*√5*√2] / 5 - 2
=> 5 + 2 - 2√10 / 3
=> (7 - 2√10) / 3
=> 7 - 2√10
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3
sai0112:
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