Question

find the value of rational number A and B if 3 + under
root 2 over 3 minus under root 2​

Answer 1

Answer:

(11 + 6√2)/7

or, = 11/7 + 6√2/7

Step-by-step explanation:

(3 + √2)/(3 - √2)

<multiply both Numerator & Denominator by (3 + √2)>

= (3 + √2)*(3 + √2) / (3 - √2)*(3 + √2)

= (3 + √2)² / ((3)² - (√2)²)

= (3² + (√2)² + 2*3*√2) / (9 - 2)

= (9 + 2 + 6√2) / 7

= (11 + 6√2)/7

or, = 11/7 + 6√2/7

Thanks!