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