Question

rationalize the denominator of1 by 7+3underoot 2​

Answer 1

Answer:

(7 - 3√2) / 31

Step-by-step explanation:

To rationalize the denominator, we need to multiply the numerator and denominator by 7 - 3√2.

1 / 7 + 3√2

= 1 (7 - 3√2) / (7 + 3√2) (7 - 3√2)

= (7 - 3√2) / (7)² - (3√2)²

= (7 - 3√2) / 49 - 18

= (7 - 3√2) / 31