Question

Find the value of a and b if :3+√2/3-√2=a+b√2

Answer 1

Hey friend,
Here is the answer you were looking for:

a = 11/7

b = 6/7

( Solution in the attachment)

Hope this helps!!!

If you have any doubt regarding to my answer, you can ask in the comment section or can inbox me.

@Mahak24

Thanks...
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Answer 2

Given:

(3+√2)/(3-√2)=a+b√2

To Find:

Value of a and b.

Solution:

First rationalise : (3+√2)/(3-√2)

For this multiply both denominator and numerator with conjugate of (3-√2) that is (3+√2)

⇒ (3+√2)/(3-√2) × (3+√2)/(3+√2)

⇒ (3+√2)²/(3-√2) (3+√2)            { (a+b) (a-b) = a²- b²}

⇒ (9 + 2 + 6√2)/ 9 - 2

⇒ (11 + 6√2) / 7

compare with a + b√2

so, a = 11/7 and b=6/7

Hence,  the value of a is 11/7 and b is 6/7.