Answer:
a = 6/7; b= 9/7
Step-by-step explanation:
3√2/3-√2 = a + b√2
L.H.S
Rationalising the denominator.
(3√2)(3+√2)/(3-√2)(3+√2)
= 9√2+6/9-2
=9√2+6/7
= 6+9√2/7
R.H.S
a+b√2
On comparing both sides,
a = 6/7
b = 9/7
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Verified answer
Answer:
a = 6/7; b= 9/7
Step-by-step explanation:
3√2/3-√2 = a + b√2
L.H.S
Rationalising the denominator.
(3√2)(3+√2)/(3-√2)(3+√2)
= 9√2+6/9-2
=9√2+6/7
= 6+9√2/7
R.H.S
a+b√2
On comparing both sides,
a = 6/7
b = 9/7