if √2-√5/√2+√5=a+b√10 then find the value of a and b
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Answer:
a = 2
b = 5
Step-by-step explanation:
√2-√5/√2+√5 = √2-√5/√2+√5 × √2+√5/√2+√5....(conjugate)
= [(√2)² - (√5)²] / (√2+√5)²
= (2 - 5) / (√2)² + (√5)² + 2(√2)(√5)
= -3 / 2+5√10
Compare a+b√10 and 2+5√10
a = 2
b = 5
Hope it helps you:)
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