Question

3+ √2÷ 3- √2 = a + √2 find the value of a

Answer 1

3+√2÷ 3-√2=a+√2

we can also write this in ......this form......

3+√2
_______
3-√2
conjugate = 3+ √2
Rationalising the denominator we get......

3+√2 3+√2. ( 3+√2)(3+√2)
_____ × ______ = ______________
3-√2. 3+√2. (3-√2)(3+√2)

using Identity ( a+b)(a+b) at numerator and
(a-b)(a+b) at denominator we get.......

9+2+2(3)(√2)
___________
3*3 - √2*√2

= 11+6√2. 11+6√2. 11
_________. =. ________ = _____+ 6√2
9-2. 7. 7


therefore..... a= 11/7
b= 6+√2

you forgot writing b there.......no problem here's the answer.....