Question

(i)
√2-1
V2+1
= a + b 2​

Answer 1

Answer:

a = 3 , b = -2

Step-by-step explanation:

√2 - 1/√2 + 1 = a + b√2

Rationalizing The Denominator,

= √2 - 1/√2 + 1 × √2 - 1/√2 - 1

= (√2 - 1)²/(√2 + 1/√2 - 1)

= (√2)² - 2(√2)(1) + (1)²/(√2)² - (1)²

= 2 - 2√2 + 1/2 - 1

3 - 2√2/1 = a + b√2

∴ a = 3 , b = -2

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Answer 2

a is 3 and b = -2

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