Question

If one upon 7+3√2=a+b√2, find the value of a and b ​

Answer 1

Answer:

Step-by-step explanation:

1 ÷ 7 + 3√2 = a + b√2

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(1 ÷ 7 + 3√2) × (7 - 3√2 ÷ 7 - 3√2)

= (7 - 3√2) ÷ 7² - (3√2)²

= (7 - 3√2) ÷ (49 - 18)

= (7 - 3√2) ÷ (31)

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=> a = 7 ÷ 31

=> b = -3 ÷ 31

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