Question

3 + under root 2 upon 3 minus and root 2 equals to a + b under root 2 find the value of a and b

Answer 1

Answer:

a = 11/7 , b= 6/7

Step-by-step explanation:

(3+√2)/(3-√2) = a+b√2

By rationalizing the denominator we get

Multiply both Numerator and Denominator by 3+√2

∴ (3+√2)²/ (3)²-(√2)²

⇒ 11+6√2/7

⇒ 11/7  +  6√2/7 = a + b√2

∴ By comparing both we get the ans.