Question

If 1/3-√2=a+b√2 find a and b

Answer 1

Step-by-step explanation:

There is a property,

if x+y=a+b

then x=a and y=b

but it is applicable only in very few cases

a=1/2

b=-1

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Answer 2

Step-by-step explanation:  1/3-√2=a+b√2

= 1/3-√2 × 3+√2/3+√2

= 3+√2/(3-√2)(3+√2)

= 3+√2/ (3)²-(√2)²       [∵ (A+B)(A-B)= A² - B²]

= 3+√2/ 9-2

= 3+√2/7

NOW, TO FING THE VALUES OF A AND B, WE NEED TO SPLIT THE FRACTION

= 3/7 + √2/7

∴ a = 3/7  AND b = √2/7

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